CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="ka" dir="ltr"> <head> <meta charset="UTF-8"> <title>ტრიგონომეტრია - ვიკიპედია</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )kawikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy", "wgMonthNames":["","იანვარი","თებერვალი","მარტი","აპრილი","მაისი","ივნისი","ივლისი","აგვისტო","სექტემბერი","ოქტომბერი","ნოემბერი","დეკემბერი"],"wgRequestId":"4bd44076-dbf0-45aa-802e-c84f8fa49b91","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"ტრიგონომეტრია","wgTitle":"ტრიგონომეტრია","wgCurRevisionId":4412723,"wgRevisionId":4412723,"wgArticleId":29874,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["ტრიგონომეტრია"],"wgPageViewLanguage":"ka","wgPageContentLanguage":"ka","wgPageContentModel":"wikitext","wgRelevantPageName":"ტრიგონომეტრია","wgRelevantArticleId":29874,"wgIsProbablyEditable":true, "wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"accuracy":{"levels":1}}},"wgStableRevisionId":4412723,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"ka","pageLanguageDir":"ltr","pageVariantFallbacks":"ka"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":9000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q8084","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"], "GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgSiteNoticeId":"2.0"};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.flaggedRevs.basic":"ready","mediawiki.codex.messagebox.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready","ext.dismissableSiteNotice.styles":"ready"};RLPAGEMODULES=["site","mediawiki.page.ready","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.flaggedRevs.advanced","ext.gadget.ReferenceTooltips", "ext.gadget.directLinkToCommons","ext.gadget.switcher","ext.gadget.pgnviewer","ext.urlShortener.toolbar","ext.centralauth.centralautologin","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking","ext.dismissableSiteNotice"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=ka&modules=ext.dismissableSiteNotice.styles%7Cext.flaggedRevs.basic%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cmediawiki.codex.messagebox.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=ka&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=ka&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="ტრიგონომეტრია - ვიკიპედია"> <meta property="og:type" content="website"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//ka.m.wikipedia.org/wiki/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90"> <link rel="alternate" type="application/x-wiki" title="რედაქტირება" href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="ვიკიპედია (ka)"> <link rel="EditURI" type="application/rsd+xml" href="//ka.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://ka.wikipedia.org/wiki/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.ka"> <link rel="alternate" type="application/atom+xml" title="ვიკიპედია-ის არხი Atom" href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%91%E1%83%9D%E1%83%9A%E1%83%9D%E1%83%AA%E1%83%95%E1%83%9A%E1%83%98%E1%83%9A%E1%83%94%E1%83%91%E1%83%94%E1%83%91%E1%83%98&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-ტრიგონომეტრია rootpage-ტრიგონომეტრია skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">შინაარსზე გადასვლა</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="საიტი"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="მთავარი მენიუ" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">მთავარი მენიუ</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">მთავარი მენიუ</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">გადატანა გვერდით ზოლზე</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">დამალვა</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> ნავიგაცია </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/%E1%83%9B%E1%83%97%E1%83%90%E1%83%95%E1%83%90%E1%83%A0%E1%83%98_%E1%83%92%E1%83%95%E1%83%94%E1%83%A0%E1%83%93%E1%83%98" title="გახსენით მთავარი გვერდი [z]" accesskey="z"><span>მთავარი გვერდი</span></a></li><li id="n-თემატური-ძიება" class="mw-list-item"><a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%A1%E1%83%90%E1%83%AB%E1%83%98%E1%83%94%E1%83%91%E1%83%94%E1%83%9A%E1%83%98"><span>თემატური ძიება</span></a></li><li id="n-რჩეული-სტატიები" class="mw-list-item"><a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%A0%E1%83%A9%E1%83%94%E1%83%A3%E1%83%9A%E1%83%98_%E1%83%A1%E1%83%A2%E1%83%90%E1%83%A2%E1%83%98%E1%83%94%E1%83%91%E1%83%98"><span>რჩეული სტატიები</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%A8%E1%83%94%E1%83%9B%E1%83%97%E1%83%AE%E1%83%95%E1%83%94%E1%83%95%E1%83%98%E1%83%97" title="შემთხვევითი გვერდის გახსნა. [x]" accesskey="x"><span>შემთხვევითი გვერდი</span></a></li><li id="n-newpages" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%90%E1%83%AE%E1%83%90%E1%83%9A%E1%83%98_%E1%83%92%E1%83%95%E1%83%94%E1%83%A0%E1%83%93%E1%83%94%E1%83%91%E1%83%98"><span>ახალი გვერდები</span></a></li> </ul> </div> </div> <div id="p-participation" class="vector-menu mw-portlet mw-portlet-participation" > <div class="vector-menu-heading"> მონაწილეობა </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-ინფორმაცია" class="mw-list-item"><a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%A1%E1%83%90%E1%83%96%E1%83%9D%E1%83%92%E1%83%90%E1%83%93%E1%83%9D%E1%83%94%E1%83%91%E1%83%98%E1%83%A1_%E1%83%92%E1%83%95%E1%83%94%E1%83%A0%E1%83%93%E1%83%94%E1%83%91%E1%83%98"><span>ინფორმაცია</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%93%E1%83%90%E1%83%AE%E1%83%9B%E1%83%90%E1%83%A0%E1%83%94%E1%83%91%E1%83%90" title="სად გავიგოთ."><span>დახმარება</span></a></li><li id="n-ფორუმი" class="mw-list-item"><a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%A4%E1%83%9D%E1%83%A0%E1%83%A3%E1%83%9B%E1%83%98"><span>ფორუმი</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%91%E1%83%9D%E1%83%9A%E1%83%9D%E1%83%AA%E1%83%95%E1%83%9A%E1%83%98%E1%83%9A%E1%83%94%E1%83%91%E1%83%94%E1%83%91%E1%83%98" title="ვიკიპედიაში ბოლო ცვლილებების სია. [r]" accesskey="r"><span>ბოლო ცვლილებები</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/%E1%83%9B%E1%83%97%E1%83%90%E1%83%95%E1%83%90%E1%83%A0%E1%83%98_%E1%83%92%E1%83%95%E1%83%94%E1%83%A0%E1%83%93%E1%83%98" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="ვიკიპედია" src="/static/images/mobile/copyright/wikipedia-wordmark-ka.svg" style="width: 7.4375em; height: 1.5em;"> <img class="mw-logo-tagline" alt="თავისუფალი ენციკლოპედია" src="/static/images/mobile/copyright/wikipedia-tagline-ka.svg" width="130" height="14" style="width: 8.125em; height: 0.875em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%AB%E1%83%98%E1%83%94%E1%83%91%E1%83%90" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="ძიება ვიკიპედია [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>ძიება</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="ძიება ვიკიპედია" aria-label="ძიება ვიკიპედია" autocapitalize="sentences" title="ძიება ვიკიპედია [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="სპეციალური:ძიება"> </div> <button class="cdx-button cdx-search-input__end-button">ძიება</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="პირადი ხელსაწყოები"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="იერსახე"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="გვერდის შრიფტის ზომის, სიგანისა და ფერის შეცვლა" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="იერსახე" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">იერსახე</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ka.wikipedia.org&uselang=ka" class=""><span>შემოწირულობები</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%90%E1%83%9C%E1%83%92%E1%83%90%E1%83%A0%E1%83%98%E1%83%A8%E1%83%98%E1%83%A1_%E1%83%A8%E1%83%94%E1%83%A5%E1%83%9B%E1%83%9C%E1%83%90&returnto=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="ჩვენ გთავაზობთ, შექმნათ ანგარიში და შეხვიდეთ სისტემაში; თუმცა ეს არ არის აუცილებელი" class=""><span>ანგარიშის შექმნა</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%A8%E1%83%94%E1%83%A1%E1%83%95%E1%83%9A%E1%83%90&returnto=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="სასურველია დარეგისტრირდეთ, თუმცა აუცილებელი არ არის. [o]" accesskey="o" class=""><span>შესვლა</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="მეტი შესაძლებლობა" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="პირადი ხელსაწყოები" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">პირადი ხელსაწყოები</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="მომხმარებლის მენიუ" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ka.wikipedia.org&uselang=ka"><span>შემოწირულობები</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%90%E1%83%9C%E1%83%92%E1%83%90%E1%83%A0%E1%83%98%E1%83%A8%E1%83%98%E1%83%A1_%E1%83%A8%E1%83%94%E1%83%A5%E1%83%9B%E1%83%9C%E1%83%90&returnto=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="ჩვენ გთავაზობთ, შექმნათ ანგარიში და შეხვიდეთ სისტემაში; თუმცა ეს არ არის აუცილებელი"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>ანგარიშის შექმნა</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%A8%E1%83%94%E1%83%A1%E1%83%95%E1%83%9A%E1%83%90&returnto=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="სასურველია დარეგისტრირდეთ, თუმცა აუცილებელი არ არის. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>შესვლა</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> გვერდები სისტემიდან გამოსული რედაქტორებისათვის <a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%93%E1%83%90%E1%83%AE%E1%83%9B%E1%83%90%E1%83%A0%E1%83%94%E1%83%91%E1%83%90" aria-label="რედაქტირების შესახებ მეტის გაგება"><span>გაიგეთ მეტი</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%A9%E1%83%94%E1%83%9B%E1%83%98_%E1%83%AC%E1%83%95%E1%83%9A%E1%83%98%E1%83%9A%E1%83%98" title="რედაქტირებების სია შესრულებული ამ IP მისამართიდან [y]" accesskey="y"><span>წვლილი</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%A9%E1%83%94%E1%83%9C%E1%83%98_%E1%83%92%E1%83%90%E1%83%9C%E1%83%AE%E1%83%98%E1%83%9A%E1%83%95%E1%83%90" title="დისკუსია ამ ip მისამართის წაშლის შესახებ [n]" accesskey="n"><span>განხილვა</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><div id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003Eდამალვა\u003C/a\u003E]\u003C/div\u003E\u003Cdiv class=\"mw-dismissable-notice-body\"\u003E\u003C!-- CentralNotice --\u003E\u003Cdiv id=\"localNotice\" data-nosnippet=\"\"\u003E\u003Cdiv class=\"sitenotice\" lang=\"ka\" dir=\"ltr\"\u003E\u003Cdiv class=\"layout plainlinks\" align=\"right\"\u003E\u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"https://www.facebook.com/georgianwikipedia\" rel=\"nofollow\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Facebook_icon.svg/18px-Facebook_icon.svg.png\" decoding=\"async\" width=\"18\" height=\"18\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Facebook_icon.svg/27px-Facebook_icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Facebook_icon.svg/36px-Facebook_icon.svg.png 2x\" data-file-width=\"256\" data-file-height=\"256\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"https://www.instagram.com/georgianwiki\" rel=\"nofollow\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Instagram_icon.png/17px-Instagram_icon.png\" decoding=\"async\" width=\"17\" height=\"17\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Instagram_icon.png/26px-Instagram_icon.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Instagram_icon.png/34px-Instagram_icon.png 2x\" data-file-width=\"5001\" data-file-height=\"5001\" /\u003E\u003C/a\u003E\u003C/span\u003E \u003Cspan typeof=\"mw:File\"\u003E\u003Ca href=\"https://www.twitter.com/georgianwiki\" rel=\"nofollow\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Twitter_logo_initial.svg/12px-Twitter_logo_initial.svg.png\" decoding=\"async\" width=\"12\" height=\"17\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Twitter_logo_initial.svg/18px-Twitter_logo_initial.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Twitter_logo_initial.svg/24px-Twitter_logo_initial.svg.png 2x\" data-file-width=\"50\" data-file-height=\"69\" /\u003E\u003C/a\u003E\u003C/span\u003E\n\u003Cp\u003E\u003Cbr /\u003E\n\u003C/p\u003E\n\u003Cdiv id=\"wle-banner\" class=\"plainlinks\" style=\"background:white; border:3px solid #21ABCD; margin: 0 auto 1em auto; font-size: 120%; overflow: hidden; text-align: center; padding: 0.5ex;\"\u003E\u003Cfigure class=\"mw-halign-left\" typeof=\"mw:File\"\u003E\u003Ca href=\"https://ge.wikimedia.org/wiki/%E1%83%95%E1%83%9B_%E1%83%A1%E1%83%90%E1%83%A5%E1%83%90%E1%83%A0%E1%83%97%E1%83%95%E1%83%94%E1%83%9A%E1%83%9D/%E1%83%99%E1%83%9D%E1%83%9C%E1%83%99%E1%83%A3%E1%83%A0%E1%83%A1%E1%83%94%E1%83%91%E1%83%98/2024/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%98%E1%83%A1_%E1%83%90%E1%83%96%E1%83%98%E1%83%98%E1%83%A1_%E1%83%97%E1%83%95%E1%83%94\" title=\"wmge:ვმ საქართველო/კონკურსები/2024/ვიკიპედიის აზიის თვე\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/3/30/Wikipedia_Asian_Month_Logo_v2_%28ka%29.svg/100px-Wikipedia_Asian_Month_Logo_v2_%28ka%29.svg.png\" decoding=\"async\" width=\"100\" height=\"108\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/3/30/Wikipedia_Asian_Month_Logo_v2_%28ka%29.svg/150px-Wikipedia_Asian_Month_Logo_v2_%28ka%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/30/Wikipedia_Asian_Month_Logo_v2_%28ka%29.svg/200px-Wikipedia_Asian_Month_Logo_v2_%28ka%29.svg.png 2x\" data-file-width=\"512\" data-file-height=\"555\" /\u003E\u003C/a\u003E\u003Cfigcaption\u003E\u003C/figcaption\u003E\u003C/figure\u003E \u003Cfigure class=\"mw-halign-right\" typeof=\"mw:File\"\u003E\u003Ca href=\"https://ge.wikimedia.org/wiki/\" title=\"wmge:\"\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/19/Wikimedia_User_Group_Georgia_Logo_Black_%28Official%29.svg/90px-Wikimedia_User_Group_Georgia_Logo_Black_%28Official%29.svg.png\" decoding=\"async\" width=\"90\" height=\"90\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/19/Wikimedia_User_Group_Georgia_Logo_Black_%28Official%29.svg/135px-Wikimedia_User_Group_Georgia_Logo_Black_%28Official%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/19/Wikimedia_User_Group_Georgia_Logo_Black_%28Official%29.svg/180px-Wikimedia_User_Group_Georgia_Logo_Black_%28Official%29.svg.png 2x\" data-file-width=\"2329\" data-file-height=\"2329\" /\u003E\u003C/a\u003E\u003Cfigcaption\u003E\u003C/figcaption\u003E\u003C/figure\u003E \u003Cb\u003Eჩაერთეთ კონკურსში \u003Cbr /\u003E\u003Cbig\u003E\u003Ca href=\"https://ge.wikimedia.org/wiki/%E1%83%95%E1%83%9B_%E1%83%A1%E1%83%90%E1%83%A5%E1%83%90%E1%83%A0%E1%83%97%E1%83%95%E1%83%94%E1%83%9A%E1%83%9D/%E1%83%99%E1%83%9D%E1%83%9C%E1%83%99%E1%83%A3%E1%83%A0%E1%83%A1%E1%83%94%E1%83%91%E1%83%98/2024/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%98%E1%83%A1_%E1%83%90%E1%83%96%E1%83%98%E1%83%98%E1%83%A1_%E1%83%97%E1%83%95%E1%83%94\" class=\"extiw\" title=\"wmge:ვმ საქართველო/კონკურსები/2024/ვიკიპედიის აზიის თვე\"\u003E\u003Cfont color=\"#0000FF\"\u003E„ვიკიპედიის აზიის თვე“,\u003C/font\u003E\u003C/a\u003E\u003C/big\u003E \u003Cbr /\u003Eშექმენით სტატიები და მოიგეთ პრიზები!\u003C/b\u003E\u003C/div\u003E\n\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="საიტი"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="სარჩევი" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">სარჩევი</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">გადატანა გვერდით ზოლზე</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">დამალვა</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">შესავალი</div> </a> </li> <li id="toc-ბრტყელი_ტრიგონომეტრიის_ძირითადი_ფორმულები" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ბრტყელი_ტრიგონომეტრიის_ძირითადი_ფორმულები"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>ბრტყელი ტრიგონომეტრიის ძირითადი ფორმულები</span> </div> </a> <ul id="toc-ბრტყელი_ტრიგონომეტრიის_ძირითადი_ფორმულები-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ისტორია" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ისტორია"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>ისტორია</span> </div> </a> <ul id="toc-ისტორია-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ლიტერატურა" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ლიტერატურა"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>ლიტერატურა</span> </div> </a> <ul id="toc-ლიტერატურა-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="სარჩევი" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="სარჩევის დამალვა/ჩვენება" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">სარჩევის დამალვა/ჩვენება</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">ტრიგონომეტრია</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="სხვაენოვან სტატიაზე გადასვლა. ხელმისაწვდომია 139 ენაზე" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-139" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">139 ენა</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Driehoeksmeting" title="Driehoeksmeting — აფრიკაანსი" lang="af" hreflang="af" data-title="Driehoeksmeting" data-language-autonym="Afrikaans" data-language-local-name="აფრიკაანსი" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Trigonometrie" title="Trigonometrie — შვეიცარიული გერმანული" lang="gsw" hreflang="gsw" data-title="Trigonometrie" data-language-autonym="Alemannisch" data-language-local-name="შვეიცარიული გერმანული" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%B5%E1%88%AA%E1%8C%8E%E1%8A%96%E1%88%9C%E1%89%B5%E1%88%AA" title="ትሪጎኖሜትሪ — ამჰარული" lang="am" hreflang="am" data-title="ትሪጎኖሜትሪ" data-language-autonym="አማርኛ" data-language-local-name="ამჰარული" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Trigonometr%C3%ADa" title="Trigonometría — არაგონული" lang="an" hreflang="an" data-title="Trigonometría" data-language-autonym="Aragonés" data-language-local-name="არაგონული" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="त्रिकोणमिति — ანგიკა" lang="anp" hreflang="anp" data-title="त्रिकोणमिति" data-language-autonym="अंगिका" data-language-local-name="ანგიკა" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D8%B3%D8%A7%D8%A8_%D8%A7%D9%84%D9%85%D8%AB%D9%84%D8%AB%D8%A7%D8%AA" title="حساب المثلثات — არაბული" lang="ar" hreflang="ar" data-title="حساب المثلثات" data-language-autonym="العربية" data-language-local-name="არაბული" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%AD%D8%B3%D8%A7%D8%A8_%D8%A7%D9%84%D9%85%D8%AB%D9%84%D8%AB%D8%A7%D8%AA" title="حساب المثلثات — Egyptian Arabic" lang="arz" hreflang="arz" data-title="حساب المثلثات" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%A4%E0%A7%8D%E0%A7%B0%E0%A6%BF%E0%A6%95%E0%A7%8B%E0%A6%A3%E0%A6%AE%E0%A6%BF%E0%A6%A4%E0%A6%BF" title="ত্ৰিকোণমিতি — ასამური" lang="as" hreflang="as" data-title="ত্ৰিকোণমিতি" data-language-autonym="অসমীয়া" data-language-local-name="ასამური" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Trigonometr%C3%ADa" title="Trigonometría — ასტურიული" lang="ast" hreflang="ast" data-title="Trigonometría" data-language-autonym="Asturianu" data-language-local-name="ასტურიული" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Triqonometriya" title="Triqonometriya — აზერბაიჯანული" lang="az" hreflang="az" data-title="Triqonometriya" data-language-autonym="Azərbaycanca" data-language-local-name="აზერბაიჯანული" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A7%D9%88%DA%86%E2%80%8C%D8%A8%D9%88%D8%AC%D8%A7%D9%82_%D8%A8%DB%8C%D9%84%DB%8C%D9%85%DB%8C" title="اوچ‌بوجاق بیلیمی — South Azerbaijani" lang="azb" hreflang="azb" data-title="اوچ‌بوجاق بیلیمی" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Тригонометрия — ბაშკირული" lang="ba" hreflang="ba" data-title="Тригонометрия" data-language-autonym="Башҡортса" data-language-local-name="ბაშკირული" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Tr%C4%97guonuometr%C4%97j%C4%97" title="Trėguonuometrėjė — Samogitian" lang="sgs" hreflang="sgs" data-title="Trėguonuometrėjė" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Trigonometriya" title="Trigonometriya — Central Bikol" lang="bcl" hreflang="bcl" data-title="Trigonometriya" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A2%D1%80%D1%8B%D0%B3%D0%B0%D0%BD%D0%B0%D0%BC%D0%B5%D1%82%D1%80%D1%8B%D1%8F" title="Трыганаметрыя — ბელარუსული" lang="be" hreflang="be" data-title="Трыганаметрыя" data-language-autonym="Беларуская" data-language-local-name="ბელარუსული" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A2%D1%80%D1%8B%D0%B3%D0%B0%D0%BD%D0%B0%D0%BC%D1%8D%D1%82%D1%80%D1%8B%D1%8F" title="Трыганамэтрыя — Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Трыганамэтрыя" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Тригонометрия — ბულგარული" lang="bg" hreflang="bg" data-title="Тригонометрия" data-language-autonym="Български" data-language-local-name="ბულგარული" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A4%E0%A7%8D%E0%A6%B0%E0%A6%BF%E0%A6%95%E0%A7%8B%E0%A6%A3%E0%A6%AE%E0%A6%BF%E0%A6%A4%E0%A6%BF" title="ত্রিকোণমিতি — ბენგალური" lang="bn" hreflang="bn" data-title="ত্রিকোণমিতি" data-language-autonym="বাংলা" data-language-local-name="ბენგალური" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Trigonometriezh" title="Trigonometriezh — ბრეტონული" lang="br" hreflang="br" data-title="Trigonometriezh" data-language-autonym="Brezhoneg" data-language-local-name="ბრეტონული" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Trigonometrija" title="Trigonometrija — ბოსნიური" lang="bs" hreflang="bs" data-title="Trigonometrija" data-language-autonym="Bosanski" data-language-local-name="ბოსნიური" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Trigonometria" title="Trigonometria — კატალანური" lang="ca" hreflang="ca" data-title="Trigonometria" data-language-autonym="Català" data-language-local-name="კატალანური" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B3%DB%8E%DA%AF%DB%86%D8%B4%DB%95%D8%B2%D8%A7%D9%86%DB%8C" title="سێگۆشەزانی — ცენტრალური ქურთული" lang="ckb" hreflang="ckb" data-title="سێگۆشەزانی" data-language-autonym="کوردی" data-language-local-name="ცენტრალური ქურთული" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Trigunumitria" title="Trigunumitria — კორსიკული" lang="co" hreflang="co" data-title="Trigunumitria" data-language-autonym="Corsu" data-language-local-name="კორსიკული" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Trigonometrie" title="Trigonometrie — ჩეხური" lang="cs" hreflang="cs" data-title="Trigonometrie" data-language-autonym="Čeština" data-language-local-name="ჩეხური" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8" title="Тригонометри — ჩუვაშური" lang="cv" hreflang="cv" data-title="Тригонометри" data-language-autonym="Чӑвашла" data-language-local-name="ჩუვაშური" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Trigonometreg" title="Trigonometreg — უელსური" lang="cy" hreflang="cy" data-title="Trigonometreg" data-language-autonym="Cymraeg" data-language-local-name="უელსური" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Trigonometri" title="Trigonometri — დანიური" lang="da" hreflang="da" data-title="Trigonometri" data-language-autonym="Dansk" data-language-local-name="დანიური" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Trigonometrie" title="Trigonometrie — გერმანული" lang="de" hreflang="de" data-title="Trigonometrie" data-language-autonym="Deutsch" data-language-local-name="გერმანული" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A4%CF%81%CE%B9%CE%B3%CF%89%CE%BD%CE%BF%CE%BC%CE%B5%CF%84%CF%81%CE%AF%CE%B1" title="Τριγωνομετρία — ბერძნული" lang="el" hreflang="el" data-title="Τριγωνομετρία" data-language-autonym="Ελληνικά" data-language-local-name="ბერძნული" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Trigonometr%C3%AE" title="Trigonometrî — Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Trigonometrî" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Trigonometry" title="Trigonometry — ინგლისური" lang="en" hreflang="en" data-title="Trigonometry" data-language-autonym="English" data-language-local-name="ინგლისური" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Trigonometrio" title="Trigonometrio — ესპერანტო" lang="eo" hreflang="eo" data-title="Trigonometrio" data-language-autonym="Esperanto" data-language-local-name="ესპერანტო" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Trigonometr%C3%ADa" title="Trigonometría — ესპანური" lang="es" hreflang="es" data-title="Trigonometría" data-language-autonym="Español" data-language-local-name="ესპანური" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Trigonomeetria" title="Trigonomeetria — ესტონური" lang="et" hreflang="et" data-title="Trigonomeetria" data-language-autonym="Eesti" data-language-local-name="ესტონური" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Trigonometria" title="Trigonometria — ბასკური" lang="eu" hreflang="eu" data-title="Trigonometria" data-language-autonym="Euskara" data-language-local-name="ბასკური" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Trigonometria" title="Trigonometria — Extremaduran" lang="ext" hreflang="ext" data-title="Trigonometria" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%AB%D9%84%D8%AB%D8%A7%D8%AA" title="مثلثات — სპარსული" lang="fa" hreflang="fa" data-title="مثلثات" data-language-autonym="فارسی" data-language-local-name="სპარსული" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Trigonometria" title="Trigonometria — ფინური" lang="fi" hreflang="fi" data-title="Trigonometria" data-language-autonym="Suomi" data-language-local-name="ფინური" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Trigonomeetri%C3%A4" title="Trigonomeetriä — Võro" lang="vro" hreflang="vro" data-title="Trigonomeetriä" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Trigonometri" title="Trigonometri — ფარერული" lang="fo" hreflang="fo" data-title="Trigonometri" data-language-autonym="Føroyskt" data-language-local-name="ფარერული" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Trigonom%C3%A9trie" title="Trigonométrie — ფრანგული" lang="fr" hreflang="fr" data-title="Trigonométrie" data-language-autonym="Français" data-language-local-name="ფრანგული" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Trigonometrii" title="Trigonometrii — ჩრდილოფრიზიული" lang="frr" hreflang="frr" data-title="Trigonometrii" data-language-autonym="Nordfriisk" data-language-local-name="ჩრდილოფრიზიული" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Triant%C3%A1nacht" title="Triantánacht — ირლანდიური" lang="ga" hreflang="ga" data-title="Triantánacht" data-language-autonym="Gaeilge" data-language-local-name="ირლანდიური" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E5%AD%B8" title="三角學 — Gan" lang="gan" hreflang="gan" data-title="三角學" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Trigonom%C3%A9tri" title="Trigonométri — Guianan Creole" lang="gcr" hreflang="gcr" data-title="Trigonométri" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Trigonometr%C3%ADa" title="Trigonometría — გალისიური" lang="gl" hreflang="gl" data-title="Trigonometría" data-language-autonym="Galego" data-language-local-name="გალისიური" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%A4%E0%AB%8D%E0%AA%B0%E0%AA%BF%E0%AA%95%E0%AB%8B%E0%AA%A3%E0%AA%AE%E0%AA%BF%E0%AA%A4%E0%AA%BF" title="ત્રિકોણમિતિ — გუჯარათი" lang="gu" hreflang="gu" data-title="ત્રિકોણમિતિ" data-language-autonym="ગુજરાતી" data-language-local-name="გუჯარათი" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%98%D7%A8%D7%99%D7%92%D7%95%D7%A0%D7%95%D7%9E%D7%98%D7%A8%D7%99%D7%94" title="טריגונומטריה — ებრაული" lang="he" hreflang="he" data-title="טריגונומטריה" data-language-autonym="עברית" data-language-local-name="ებრაული" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="त्रिकोणमिति — ჰინდი" lang="hi" hreflang="hi" data-title="त्रिकोणमिति" data-language-autonym="हिन्दी" data-language-local-name="ჰინდი" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Trigonometry" title="Trigonometry — Fiji Hindi" lang="hif" hreflang="hif" data-title="Trigonometry" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Trigonometrija" title="Trigonometrija — ხორვატული" lang="hr" hreflang="hr" data-title="Trigonometrija" data-language-autonym="Hrvatski" data-language-local-name="ხორვატული" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Trigonometria" title="Trigonometria — უნგრული" lang="hu" hreflang="hu" data-title="Trigonometria" data-language-autonym="Magyar" data-language-local-name="უნგრული" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B5%D5%BC%D5%A1%D5%B6%D5%AF%D5%B5%D5%B8%D6%82%D5%B6%D5%A1%D5%B9%D5%A1%D6%83%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Եռանկյունաչափություն — სომხური" lang="hy" hreflang="hy" data-title="Եռանկյունաչափություն" data-language-autonym="Հայերեն" data-language-local-name="სომხური" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Trigonometria" title="Trigonometria — ინტერლინგუალური" lang="ia" hreflang="ia" data-title="Trigonometria" data-language-autonym="Interlingua" data-language-local-name="ინტერლინგუალური" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-iba mw-list-item"><a href="https://iba.wikipedia.org/wiki/Trigonometri" title="Trigonometri — იბანი" lang="iba" hreflang="iba" data-title="Trigonometri" data-language-autonym="Jaku Iban" data-language-local-name="იბანი" class="interlanguage-link-target"><span>Jaku Iban</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Trigonometri" title="Trigonometri — ინდონეზიური" lang="id" hreflang="id" data-title="Trigonometri" data-language-autonym="Bahasa Indonesia" data-language-local-name="ინდონეზიური" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Trigonometria" title="Trigonometria — ილოკო" lang="ilo" hreflang="ilo" data-title="Trigonometria" data-language-autonym="Ilokano" data-language-local-name="ილოკო" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Trigonometrio" title="Trigonometrio — იდო" lang="io" hreflang="io" data-title="Trigonometrio" data-language-autonym="Ido" data-language-local-name="იდო" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Hornafr%C3%A6%C3%B0i" title="Hornafræði — ისლანდიური" lang="is" hreflang="is" data-title="Hornafræði" data-language-autonym="Íslenska" data-language-local-name="ისლანდიური" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Trigonometria" title="Trigonometria — იტალიური" lang="it" hreflang="it" data-title="Trigonometria" data-language-autonym="Italiano" data-language-local-name="იტალიური" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E6%B3%95" title="三角法 — იაპონური" lang="ja" hreflang="ja" data-title="三角法" data-language-autonym="日本語" data-language-local-name="იაპონური" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Chriganamichri" title="Chriganamichri — Jamaican Creole English" lang="jam" hreflang="jam" data-title="Chriganamichri" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Trigonom%C3%A8tri" title="Trigonomètri — იავური" lang="jv" hreflang="jv" data-title="Trigonomètri" data-language-autonym="Jawa" data-language-local-name="იავური" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Trigonometriya" title="Trigonometriya — ყარაყალფახური" lang="kaa" hreflang="kaa" data-title="Trigonometriya" data-language-autonym="Qaraqalpaqsha" data-language-local-name="ყარაყალფახური" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/K%C9%94l%C9%94m%C9%A9%C5%8B_naadozo_t%CA%8A_pilinzi_maz%CA%8A%CA%8A" title="Kɔlɔmɩŋ naadozo tʊ pilinzi mazʊʊ — Kabiye" lang="kbp" hreflang="kbp" data-title="Kɔlɔmɩŋ naadozo tʊ pilinzi mazʊʊ" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Тригонометрия — ყაზახური" lang="kk" hreflang="kk" data-title="Тригонометрия" data-language-autonym="Қазақша" data-language-local-name="ყაზახური" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%8F%E1%9F%92%E1%9E%9A%E1%9E%B8%E1%9E%80%E1%9F%84%E1%9E%8E%E1%9E%98%E1%9E%B6%E1%9E%8F%E1%9F%92%E1%9E%9A" title="ត្រីកោណមាត្រ — ქმერული" lang="km" hreflang="km" data-title="ត្រីកោណមាត្រ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="ქმერული" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%82%BC%EA%B0%81%EB%B2%95" title="삼각법 — კორეული" lang="ko" hreflang="ko" data-title="삼각법" data-language-autonym="한국어" data-language-local-name="კორეული" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/S%C3%AAgo%C5%9Fenas%C3%AE" title="Sêgoşenasî — ქურთული" lang="ku" hreflang="ku" data-title="Sêgoşenasî" data-language-autonym="Kurdî" data-language-local-name="ქურთული" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Тригонометрия — ყირგიზული" lang="ky" hreflang="ky" data-title="Тригонометрия" data-language-autonym="Кыргызча" data-language-local-name="ყირგიზული" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Trigonometria" title="Trigonometria — ლათინური" lang="la" hreflang="la" data-title="Trigonometria" data-language-autonym="Latina" data-language-local-name="ლათინური" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Trigonometria" title="Trigonometria — Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Trigonometria" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Essomampuyisatu_(Trigonometry)" title="Essomampuyisatu (Trigonometry) — განდა" lang="lg" hreflang="lg" data-title="Essomampuyisatu (Trigonometry)" data-language-autonym="Luganda" data-language-local-name="განდა" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Goniometrie" title="Goniometrie — ლიმბურგული" lang="li" hreflang="li" data-title="Goniometrie" data-language-autonym="Limburgs" data-language-local-name="ლიმბურგული" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Trigonometria" title="Trigonometria — Lombard" lang="lmo" hreflang="lmo" data-title="Trigonometria" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BB%84%E0%BA%95%E0%BA%A1%E0%BA%B8%E0%BA%A1" title="ໄຕມຸມ — ლაოსური" lang="lo" hreflang="lo" data-title="ໄຕມຸມ" data-language-autonym="ລາວ" data-language-local-name="ლაოსური" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Trigonometrija" title="Trigonometrija — ლიეტუვური" lang="lt" hreflang="lt" data-title="Trigonometrija" data-language-autonym="Lietuvių" data-language-local-name="ლიეტუვური" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Trigonometrija" title="Trigonometrija — ლატვიური" lang="lv" hreflang="lv" data-title="Trigonometrija" data-language-autonym="Latviešu" data-language-local-name="ლატვიური" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0" title="Тригонометрија — მაკედონური" lang="mk" hreflang="mk" data-title="Тригонометрија" data-language-autonym="Македонски" data-language-local-name="მაკედონური" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%A4%E0%B5%8D%E0%B4%B0%E0%B4%BF%E0%B4%95%E0%B5%8B%E0%B4%A3%E0%B4%AE%E0%B4%BF%E0%B4%A4%E0%B4%BF" title="ത്രികോണമിതി — მალაიალამური" lang="ml" hreflang="ml" data-title="ത്രികോണമിതി" data-language-autonym="മലയാളം" data-language-local-name="მალაიალამური" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A5%80" title="त्रिकोणमिती — მარათჰი" lang="mr" hreflang="mr" data-title="त्रिकोणमिती" data-language-autonym="मराठी" data-language-local-name="მარათჰი" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Trigonometri" title="Trigonometri — მალაიური" lang="ms" hreflang="ms" data-title="Trigonometri" data-language-autonym="Bahasa Melayu" data-language-local-name="მალაიური" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%90%E1%80%BC%E1%80%AE%E1%80%82%E1%80%AD%E1%80%AF%E1%80%94%E1%80%AD%E1%80%AF%E1%80%99%E1%80%B1%E1%80%90%E1%80%BC%E1%80%AE" title="တြီဂိုနိုမေတြီ — ბირმული" lang="my" hreflang="my" data-title="တြီဂိုနိုမေတြီ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="ბირმული" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Trigonometrie" title="Trigonometrie — ქვემოგერმანული" lang="nds" hreflang="nds" data-title="Trigonometrie" data-language-autonym="Plattdüütsch" data-language-local-name="ქვემოგერმანული" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%95%E0%A5%8B%E0%A4%A3%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="त्रिकोणमिति — ნეპალური" lang="ne" hreflang="ne" data-title="त्रिकोणमिति" data-language-autonym="नेपाली" data-language-local-name="ნეპალური" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%97%E0%A5%8B%E0%A4%A8%E0%A5%8B%E0%A4%AE%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF" title="त्रिगोनोमेत्रि — ნევარი" lang="new" hreflang="new" data-title="त्रिगोनोमेत्रि" data-language-autonym="नेपाल भाषा" data-language-local-name="ნევარი" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Goniometrie" title="Goniometrie — ნიდერლანდური" lang="nl" hreflang="nl" data-title="Goniometrie" data-language-autonym="Nederlands" data-language-local-name="ნიდერლანდური" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Trigonometri" title="Trigonometri — ნორვეგიული ნიუნორსკი" lang="nn" hreflang="nn" data-title="Trigonometri" data-language-autonym="Norsk nynorsk" data-language-local-name="ნორვეგიული ნიუნორსკი" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Trigonometri" title="Trigonometri — ნორვეგიული ბუკმოლი" lang="nb" hreflang="nb" data-title="Trigonometri" data-language-autonym="Norsk bokmål" data-language-local-name="ნორვეგიული ბუკმოლი" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Trigonometria" title="Trigonometria — ოქსიტანური" lang="oc" hreflang="oc" data-title="Trigonometria" data-language-autonym="Occitan" data-language-local-name="ოქსიტანური" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Rogkofa" title="Rogkofa — ორომო" lang="om" hreflang="om" data-title="Rogkofa" data-language-autonym="Oromoo" data-language-local-name="ორომო" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%A4%E0%AD%8D%E0%AC%B0%E0%AC%BF%E0%AC%95%E0%AD%8B%E0%AC%A3%E0%AC%AE%E0%AC%BF%E0%AC%A4%E0%AC%BF" title="ତ୍ରିକୋଣମିତି — ორია" lang="or" hreflang="or" data-title="ତ୍ରିକୋଣମିତି" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="ორია" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%A4%E0%A8%BF%E0%A8%95%E0%A9%8B%E0%A8%A3%E0%A8%AE%E0%A8%BF%E0%A8%A4%E0%A9%80" title="ਤਿਕੋਣਮਿਤੀ — პენჯაბური" lang="pa" hreflang="pa" data-title="ਤਿਕੋਣਮਿਤੀ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="პენჯაბური" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Trygonometria" title="Trygonometria — პოლონური" lang="pl" hreflang="pl" data-title="Trygonometria" data-language-autonym="Polski" data-language-local-name="პოლონური" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Trigonometr%C3%ACa" title="Trigonometrìa — Piedmontese" lang="pms" hreflang="pms" data-title="Trigonometrìa" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%B9%D8%B1%DB%8C%DA%AF%D9%86%D9%88%D9%85%DB%8C%D9%B9%D8%B1%DB%8C" title="ٹریگنومیٹری — Western Punjabi" lang="pnb" hreflang="pnb" data-title="ٹریگنومیٹری" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Trigonometria" title="Trigonometria — პორტუგალიური" lang="pt" hreflang="pt" data-title="Trigonometria" data-language-autonym="Português" data-language-local-name="პორტუგალიური" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Wamp%27artupuykama" title="Wamp'artupuykama — კეჩუა" lang="qu" hreflang="qu" data-title="Wamp'artupuykama" data-language-autonym="Runa Simi" data-language-local-name="კეჩუა" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Trigonometrie" title="Trigonometrie — რუმინული" lang="ro" hreflang="ro" data-title="Trigonometrie" data-language-autonym="Română" data-language-local-name="რუმინული" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Тригонометрия — რუსული" lang="ru" hreflang="ru" data-title="Тригонометрия" data-language-autonym="Русский" data-language-local-name="რუსული" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%A2%D1%80%D1%96%D2%91%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F" title="Тріґонометрія — Rusyn" lang="rue" hreflang="rue" data-title="Тріґонометрія" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Trigunomitr%C3%ACa" title="Trigunomitrìa — სიცილიური" lang="scn" hreflang="scn" data-title="Trigunomitrìa" data-language-autonym="Sicilianu" data-language-local-name="სიცილიური" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Trigonometry" title="Trigonometry — შოტლანდიური" lang="sco" hreflang="sco" data-title="Trigonometry" data-language-autonym="Scots" data-language-local-name="შოტლანდიური" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Trigonometrija" title="Trigonometrija — სერბულ-ხორვატული" lang="sh" hreflang="sh" data-title="Trigonometrija" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="სერბულ-ხორვატული" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Askti%C9%A3mr" title="Asktiɣmr — შილჰა" lang="shi" hreflang="shi" data-title="Asktiɣmr" data-language-autonym="Taclḥit" data-language-local-name="შილჰა" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%AD%E0%B7%8A%E2%80%8D%E0%B6%BB%E0%B7%92%E0%B6%9A%E0%B7%9D%E0%B6%AB%E0%B6%B8%E0%B7%92%E0%B6%AD%E0%B7%92%E0%B6%BA" title="ත්‍රිකෝණමිතිය — სინჰალური" lang="si" hreflang="si" data-title="ත්‍රිකෝණමිතිය" data-language-autonym="සිංහල" data-language-local-name="სინჰალური" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Trigonometry" title="Trigonometry — Simple English" lang="en-simple" hreflang="en-simple" data-title="Trigonometry" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Trigonometria" title="Trigonometria — სლოვაკური" lang="sk" hreflang="sk" data-title="Trigonometria" data-language-autonym="Slovenčina" data-language-local-name="სლოვაკური" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Trigonometrija" title="Trigonometrija — სლოვენური" lang="sl" hreflang="sl" data-title="Trigonometrija" data-language-autonym="Slovenščina" data-language-local-name="სლოვენური" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Pimagonyonhatu" title="Pimagonyonhatu — შონა" lang="sn" hreflang="sn" data-title="Pimagonyonhatu" data-language-autonym="ChiShona" data-language-local-name="შონა" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Tirignoometeri" title="Tirignoometeri — სომალიური" lang="so" hreflang="so" data-title="Tirignoometeri" data-language-autonym="Soomaaliga" data-language-local-name="სომალიური" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Trigonometria" title="Trigonometria — ალბანური" lang="sq" hreflang="sq" data-title="Trigonometria" data-language-autonym="Shqip" data-language-local-name="ალბანური" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0" title="Тригонометрија — სერბული" lang="sr" hreflang="sr" data-title="Тригонометрија" data-language-autonym="Српски / srpski" data-language-local-name="სერბული" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-stq mw-list-item"><a href="https://stq.wikipedia.org/wiki/Trigonometrie" title="Trigonometrie — Saterland Frisian" lang="stq" hreflang="stq" data-title="Trigonometrie" data-language-autonym="Seeltersk" data-language-local-name="Saterland Frisian" class="interlanguage-link-target"><span>Seeltersk</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Trigonometri" title="Trigonometri — შვედური" lang="sv" hreflang="sv" data-title="Trigonometri" data-language-autonym="Svenska" data-language-local-name="შვედური" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Trigonometria" title="Trigonometria — სუაჰილი" lang="sw" hreflang="sw" data-title="Trigonometria" data-language-autonym="Kiswahili" data-language-local-name="სუაჰილი" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%8B%E0%AE%A3%E0%AE%B5%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D" title="முக்கோணவியல் — ტამილური" lang="ta" hreflang="ta" data-title="முக்கோணவியல்" data-language-autonym="தமிழ்" data-language-local-name="ტამილური" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%A4%E0%B1%8D%E0%B0%B0%E0%B0%BF%E0%B0%95%E0%B1%8B%E0%B0%A3%E0%B0%AE%E0%B0%BF%E0%B0%A4%E0%B0%BF" title="త్రికోణమితి — ტელუგუ" lang="te" hreflang="te" data-title="త్రికోణమితి" data-language-autonym="తెలుగు" data-language-local-name="ტელუგუ" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Тригонометрия — ტაჯიკური" lang="tg" hreflang="tg" data-title="Тригонометрия" data-language-autonym="Тоҷикӣ" data-language-local-name="ტაჯიკური" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%95%E0%B8%A3%E0%B8%B5%E0%B9%82%E0%B8%81%E0%B8%93%E0%B8%A1%E0%B8%B4%E0%B8%95%E0%B8%B4" title="ตรีโกณมิติ — ტაილანდური" lang="th" hreflang="th" data-title="ตรีโกณมิติ" data-language-autonym="ไทย" data-language-local-name="ტაილანდური" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Trigonometri%C3%BDa" title="Trigonometriýa — თურქმენული" lang="tk" hreflang="tk" data-title="Trigonometriýa" data-language-autonym="Türkmençe" data-language-local-name="თურქმენული" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Trigonometriya" title="Trigonometriya — Tagalog" lang="tl" hreflang="tl" data-title="Trigonometriya" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Trigonometri" title="Trigonometri — თურქული" lang="tr" hreflang="tr" data-title="Trigonometri" data-language-autonym="Türkçe" data-language-local-name="თურქული" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F" title="Тригонометрия — თათრული" lang="tt" hreflang="tt" data-title="Тригонометрия" data-language-autonym="Татарча / tatarça" data-language-local-name="თათრული" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A2%D1%80%D0%B8%D0%B3%D0%BE%D0%BD%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F" title="Тригонометрія — უკრაინული" lang="uk" hreflang="uk" data-title="Тригонометрія" data-language-autonym="Українська" data-language-local-name="უკრაინული" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%85%D8%AB%D9%84%D8%AB%DB%8C%D8%A7%D8%AA" title="مثلثیات — ურდუ" lang="ur" hreflang="ur" data-title="مثلثیات" data-language-autonym="اردو" data-language-local-name="ურდუ" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Trigonometriya" title="Trigonometriya — უზბეკური" lang="uz" hreflang="uz" data-title="Trigonometriya" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="უზბეკური" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Trigonometria" title="Trigonometria — Venetian" lang="vec" hreflang="vec" data-title="Trigonometria" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Trigonometrii" title="Trigonometrii — Veps" lang="vep" hreflang="vep" data-title="Trigonometrii" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/L%C6%B0%E1%BB%A3ng_gi%C3%A1c" title="Lượng giác — ვიეტნამური" lang="vi" hreflang="vi" data-title="Lượng giác" data-language-autonym="Tiếng Việt" data-language-local-name="ვიეტნამური" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/Trigonometreye" title="Trigonometreye — ვალონური" lang="wa" hreflang="wa" data-title="Trigonometreye" data-language-autonym="Walon" data-language-local-name="ვალონური" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Trigonometriya" title="Trigonometriya — ვარაი" lang="war" hreflang="war" data-title="Trigonometriya" data-language-autonym="Winaray" data-language-local-name="ვარაი" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E5%AD%A6" title="三角学 — ვუ" lang="wuu" hreflang="wuu" data-title="三角学" data-language-autonym="吴语" data-language-local-name="ვუ" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="ტრიგონომეტრია — Mingrelian" lang="xmf" hreflang="xmf" data-title="ტრიგონომეტრია" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%98%D7%A8%D7%99%D7%92%D7%90%D7%A0%D7%90%D7%9E%D7%A2%D7%98%D7%A8%D7%99%D7%A2" title="טריגאנאמעטריע — იდიში" lang="yi" hreflang="yi" data-title="טריגאנאמעטריע" data-language-autonym="ייִדיש" data-language-local-name="იდიში" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/Trigonom%E1%BA%B9%CC%81tr%C3%AC" title="Trigonomẹ́trì — იორუბა" lang="yo" hreflang="yo" data-title="Trigonomẹ́trì" data-language-autonym="Yorùbá" data-language-local-name="იორუბა" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E5%AD%A6" title="三角学 — ჩინური" lang="zh" hreflang="zh" data-title="三角学" data-language-autonym="中文" data-language-local-name="ჩინური" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Sa%E2%81%BF-kak-hoat" title="Saⁿ-kak-hoat — Minnan" lang="nan" hreflang="nan" data-title="Saⁿ-kak-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%B8%89%E8%A7%92%E5%AD%B8" title="三角學 — კანტონური" lang="yue" hreflang="yue" data-title="三角學" data-language-autonym="粵語" data-language-local-name="კანტონური" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q8084#sitelinks-wikipedia" title="ენათშორისი ბმულების რედაქტირება" class="wbc-editpage">ბმულების რედაქტირება</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="სახელთა სივრცე"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="იხილეთ შიგთავსის გვერდი [c]" accesskey="c"><span>სტატია</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%83%92%E1%83%90%E1%83%9C%E1%83%AE%E1%83%98%E1%83%9A%E1%83%95%E1%83%90:%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=edit&redlink=1" rel="discussion" class="new" title="გვერდის შიგთავსის განხილვა (ჯერ არაა დაწერილი) [გ]" accesskey="გ"><span>განხილვა</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="ენის ვარიანტის შეცვლა" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">ქართული</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="გადახედვა"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90"><span>შემოწმებული სტატია</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&veaction=edit" title="ამ გვერდის რედაქტირება [v]" accesskey="v"><span>რედაქტირება</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=edit" title="ამ გვერდის წყაროს კოდის რედაქტირება [e]" accesskey="e"><span>წყაროს რედაქტირება</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=history" title="ამ გვერდის ბოლო ვერსიები [ი]" accesskey="ი"><span>ისტორია</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="ინსტრუმენტები გვერდებისთვის"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="ხელსაწყოები" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">ხელსაწყოები</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">ხელსაწყოები</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">გადატანა გვერდით ზოლზე</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">დამალვა</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> მოქმედებები </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90"><span>შემოწმებული სტატია</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&veaction=edit" title="ამ გვერდის რედაქტირება [v]" accesskey="v"><span>რედაქტირება</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=edit" title="ამ გვერდის წყაროს კოდის რედაქტირება [e]" accesskey="e"><span>წყაროს რედაქტირება</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=history"><span>ისტორია</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> ძირითადი </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:WhatLinksHere/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="ყველა ვიკი გვერდის სია, რომლებშიც ეს გვერდია მითითებული [j]" accesskey="j"><span>ბმულები გვერდზე</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:RecentChangesLinked/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" rel="nofollow" title="ბოლო ცვლილებები ამ გვერდთან დაკავშირებულ გვერდებზე [k]" accesskey="k"><span>დაკავშირებული ცვლილებები</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%92%E1%83%90%E1%83%9C%E1%83%A1%E1%83%90%E1%83%99%E1%83%A3%E1%83%97%E1%83%A0%E1%83%94%E1%83%91%E1%83%A3%E1%83%9A%E1%83%98_%E1%83%92%E1%83%95%E1%83%94%E1%83%A0%E1%83%93%E1%83%94%E1%83%91%E1%83%98" title="ყველა სპეციალური გვერდის სია [q]" accesskey="q"><span>სპეციალური გვერდები</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&oldid=4412723" title="მუდმივი ბმული გვერდის ამ ვერსიაზე"><span>მუდმივი ბმული</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=info" title="მეტი ინფორმაცია ამ გვერდის შესახებ"><span>გვერდის ინფორმაცია</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:CiteThisPage&page=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&id=4412723&wpFormIdentifier=titleform" title="ინფორმაცია ამ გვერდის ციტირების შესახებ"><span>გვერდის ციტირება</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:UrlShortener&url=https%3A%2F%2Fka.wikipedia.org%2Fwiki%2F%25E1%2583%25A2%25E1%2583%25A0%25E1%2583%2598%25E1%2583%2592%25E1%2583%259D%25E1%2583%259C%25E1%2583%259D%25E1%2583%259B%25E1%2583%2594%25E1%2583%25A2%25E1%2583%25A0%25E1%2583%2598%25E1%2583%2590"><span>შემოკლებული URL-ის მიღება</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:QrCode&url=https%3A%2F%2Fka.wikipedia.org%2Fwiki%2F%25E1%2583%25A2%25E1%2583%25A0%25E1%2583%2598%25E1%2583%2592%25E1%2583%259D%25E1%2583%259C%25E1%2583%259D%25E1%2583%259B%25E1%2583%2594%25E1%2583%25A2%25E1%2583%25A0%25E1%2583%2598%25E1%2583%2590"><span>QR-კოდის ჩამოტვირთვა</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> ბეჭდვა/ექსპორტი </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%AC%E1%83%98%E1%83%92%E1%83%9C%E1%83%98&bookcmd=book_creator&referer=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90"><span>წიგნის შექმნა</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:DownloadAsPdf&page=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=show-download-screen"><span>გადაწერა PDF ფორმატში</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&printable=yes" title="ამ გვერდის დასაბეჭდი ვერსია [p]" accesskey="p"><span>დასაბეჭდი ვერსია</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> სხვა პროექტებში </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Trigonometry" hreflang="en"><span>ვიკისაწყობი</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q8084" title="მონაცემთა საცავის დაკავშირებული ელემენტის ბმული [g]" accesskey="g"><span>ვიკიმონაცემების ელემენტი</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="ინსტრუმენტები გვერდებისთვის"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="იერსახე"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">იერსახე</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">გადატანა გვერდით ზოლზე</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">დამალვა</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">მასალა ვიკიპედიიდან — თავისუფალი ენციკლოპედია</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ka" dir="ltr"><p><b>ტრიგონომეტრია</b> (<a href="/wiki/%E1%83%AB%E1%83%95%E1%83%94%E1%83%9A%E1%83%98_%E1%83%91%E1%83%94%E1%83%A0%E1%83%AB%E1%83%9C%E1%83%A3%E1%83%9A%E1%83%98_%E1%83%94%E1%83%9C%E1%83%90" title="ძველი ბერძნული ენა">ძვ. ბერძნ.</a> <span lang="grc" style="font-family: new athena unicode, athena, gentium, code2000, palatino linotype, serif; font-size: 110%;">τρίγωνον</span> — „სამკუთხედი“ და <span lang="grc" style="font-family: new athena unicode, athena, gentium, code2000, palatino linotype, serif; font-size: 110%;">μετρέω</span> — „ვზომავ“) — <a href="/wiki/%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90" title="მათემატიკა">მათემატიკის</a> დარგი, რომელშიც შეისწავლება ტრიგონომეტრიული ფუნქციები და მათი გამოყენებანი <a href="/wiki/%E1%83%92%E1%83%94%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="გეომეტრია">გეომეტრიაში</a>. </p><p>ტრიგონომეტრია იყოფა ბრტყელ, ანუ წრფივ და სფერულ ტრიგონომეტრიად. </p> <div class="mw-heading mw-heading2"><h2 id="ბრტყელი_ტრიგონომეტრიის_ძირითადი_ფორმულები"><span id=".E1.83.91.E1.83.A0.E1.83.A2.E1.83.A7.E1.83.94.E1.83.9A.E1.83.98_.E1.83.A2.E1.83.A0.E1.83.98.E1.83.92.E1.83.9D.E1.83.9C.E1.83.9D.E1.83.9B.E1.83.94.E1.83.A2.E1.83.A0.E1.83.98.E1.83.98.E1.83.A1_.E1.83.AB.E1.83.98.E1.83.A0.E1.83.98.E1.83.97.E1.83.90.E1.83.93.E1.83.98_.E1.83.A4.E1.83.9D.E1.83.A0.E1.83.9B.E1.83.A3.E1.83.9A.E1.83.94.E1.83.91.E1.83.98"></span>ბრტყელი ტრიგონომეტრიის ძირითადი ფორმულები</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&veaction=edit&section=1" title="სექციის რედაქტირება:ბრტყელი ტრიგონომეტრიის ძირითადი ფორმულები" class="mw-editsection-visualeditor"><span>რედაქტირება</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=edit&section=1" title="Edit section's source code: ბრტყელი ტრიგონომეტრიის ძირითადი ფორმულები"><span>წყაროს რედაქტირება</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ვთქვათ <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a,b,c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>,</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a,b,c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f13f068df656c1b1911ae9f81628c49a6181194d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.302ex; height:2.509ex;" alt="{\displaystyle a,b,c}"></span> სამკუთხედის გვერდებია, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A,B,C}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>,</mo> <mi>B</mi> <mo>,</mo> <mi>C</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A,B,C}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ce2acf22b93dfbd22373336bd9c22dbd98a49d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.341ex; height:2.509ex;" alt="{\displaystyle A,B,C}"></span> — მათი მოპირდაპირე კუთხეები <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (A+B+C=\pi )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>A</mi> <mo>+</mo> <mi>B</mi> <mo>+</mo> <mi>C</mi> <mo>=</mo> <mi>π</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (A+B+C=\pi )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/009204694bdcccdf731b5be26ac666dfd100cde0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.194ex; height:2.843ex;" alt="{\displaystyle (A+B+C=\pi )}"></span>., <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h_{a},h_{b},h_{c}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>h</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h_{a},h_{b},h_{c}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/97e3fcaa22f247ccfa9d7050a5ed1bf48384de50" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.069ex; height:2.509ex;" alt="{\displaystyle h_{a},h_{b},h_{c}}"></span> — სიმაღლეები, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b45c7ea79a10b769073cd75ff085612d3d13663" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.908ex; height:2.176ex;" alt="{\displaystyle 2P}"></span> — პერიმეტრი, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4611d85173cd3b508e67077d4a1252c9c05abca2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.499ex; height:2.176ex;" alt="{\displaystyle S}"></span> — ფართობი, ხოლო <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c5e012ed1fbb85fd15e40e08a4f375e37650c4d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.926ex; height:2.176ex;" alt="{\displaystyle 2R}"></span> — დიამეტრი იმ წრეწირისა, რომელიც შემოხაზულია ამ სამკუთხედზე. </p><p>სინუსების თეორემა: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {a}{\sin A}}={\frac {b}{\sin B}}={\frac {c}{\sin C}}=2R;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>A</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>B</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>c</mi> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>C</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mn>2</mn> <mi>R</mi> <mo>;</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {a}{\sin A}}={\frac {b}{\sin B}}={\frac {c}{\sin C}}=2R;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/572888304e8a737d4f14672ba2cbe04249b2a286" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:30.379ex; height:5.509ex;" alt="{\displaystyle {\frac {a}{\sin A}}={\frac {b}{\sin B}}={\frac {c}{\sin C}}=2R;}"></span></dd></dl> <p>კოსინუსების თეორემა: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}=b^{2}+c^{2}-2bc\cos A;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <mn>2</mn> <mi>b</mi> <mi>c</mi> <mi>cos</mi> <mo>⁡</mo> <mi>A</mi> <mo>;</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}=b^{2}+c^{2}-2bc\cos A;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9220bbd749f72669e54e9d28111a9fdec44fbdf2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:24.618ex; height:3.009ex;" alt="{\displaystyle a^{2}=b^{2}+c^{2}-2bc\cos A;}"></span></dd></dl> <p>ტანგესების თეორემა: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {a-b}{a+b}}={\frac {\mathop {\operatorname {tg} } \left({\tfrac {A-B}{2}}\right)}{\mathop {\operatorname {tg} } \left({\tfrac {A+B}{2}}\right)}};}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mo>−</mo> <mi>b</mi> </mrow> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-OP"> <mi>tg</mi> </mrow> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mrow> <mi>A</mi> <mo>−</mo> <mi>B</mi> </mrow> <mn>2</mn> </mfrac> </mstyle> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mrow class="MJX-TeXAtom-OP"> <mi>tg</mi> </mrow> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mrow> <mi>A</mi> <mo>+</mo> <mi>B</mi> </mrow> <mn>2</mn> </mfrac> </mstyle> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> <mo>;</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {a-b}{a+b}}={\frac {\mathop {\operatorname {tg} } \left({\tfrac {A-B}{2}}\right)}{\mathop {\operatorname {tg} } \left({\tfrac {A+B}{2}}\right)}};}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/23e2a9dcb89218cdecf14066f6d48c2611b106b1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.505ex; width:19.923ex; height:10.176ex;" alt="{\displaystyle {\frac {a-b}{a+b}}={\frac {\mathop {\operatorname {tg} } \left({\tfrac {A-B}{2}}\right)}{\mathop {\operatorname {tg} } \left({\tfrac {A+B}{2}}\right)}};}"></span></dd></dl> <p>სამკუთხედების ფართობი: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S={\frac {ab}{2}}{\sin C}={\frac {a^{2}}{2}}{\frac {{\sin B}{\sin C}}{\sin B+C}}=p^{2}\operatorname {tg} {\frac {A}{2}}\operatorname {tg} {\frac {B}{2}}\operatorname {tg} {\frac {C}{2}};}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>a</mi> <mi>b</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>sin</mi> <mo>⁡</mo> <mi>C</mi> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>sin</mi> <mo>⁡</mo> <mi>B</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>sin</mi> <mo>⁡</mo> <mi>C</mi> </mrow> </mrow> <mrow> <mi>sin</mi> <mo>⁡</mo> <mi>B</mi> <mo>+</mo> <mi>C</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>tg</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>A</mi> <mn>2</mn> </mfrac> </mrow> <mi>tg</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>B</mi> <mn>2</mn> </mfrac> </mrow> <mi>tg</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>C</mi> <mn>2</mn> </mfrac> </mrow> <mo>;</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S={\frac {ab}{2}}{\sin C}={\frac {a^{2}}{2}}{\frac {{\sin B}{\sin C}}{\sin B+C}}=p^{2}\operatorname {tg} {\frac {A}{2}}\operatorname {tg} {\frac {B}{2}}\operatorname {tg} {\frac {C}{2}};}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/603047cf99d05e8844b370c943f34996226ec028" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:52.015ex; height:6.009ex;" alt="{\displaystyle S={\frac {ab}{2}}{\sin C}={\frac {a^{2}}{2}}{\frac {{\sin B}{\sin C}}{\sin B+C}}=p^{2}\operatorname {tg} {\frac {A}{2}}\operatorname {tg} {\frac {B}{2}}\operatorname {tg} {\frac {C}{2}};}"></span></dd></dl> <p>სამკუთხედის კუთხეები, თუ ცნობილია გვერდები, შეიძლება ვიპოვოთ კოსინუსების თეორემის საშუალებით ან ფორმულით: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {tg} {\frac {A}{2}}={\sqrt {\frac {(p-b)(p-c)}{p(p-a)}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>tg</mi> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>A</mi> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mfrac> <mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>c</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>p</mi> <mo stretchy="false">(</mo> <mi>p</mi> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {tg} {\frac {A}{2}}={\sqrt {\frac {(p-b)(p-c)}{p(p-a)}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aae098c9339c62647275d4f4388767d386ae053c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:24.934ex; height:7.509ex;" alt="{\displaystyle \operatorname {tg} {\frac {A}{2}}={\sqrt {\frac {(p-b)(p-c)}{p(p-a)}}}}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="ისტორია"><span id=".E1.83.98.E1.83.A1.E1.83.A2.E1.83.9D.E1.83.A0.E1.83.98.E1.83.90"></span>ისტორია</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&veaction=edit&section=2" title="სექციის რედაქტირება:ისტორია" class="mw-editsection-visualeditor"><span>რედაქტირება</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=edit&section=2" title="Edit section's source code: ისტორია"><span>წყაროს რედაქტირება</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>ბრტყელმა ტრიგონომეტრიამ განვითარება დაიწყო სფერული ტრიგონომეტრიის შემდეგ, თუმცა ზოგიერთი თეორემა უკვე იყო ცნობილი ადრევეც. მაგალითად ევკლიდეს „საწყისების“ მეორე წიგნის მე-12 და მე-13 თეორემები არსებითად კოსნუსების თეორემას გამოხატავს. ბრტყელი ტრიგონომეტრია განავითარეს ალ-ბათანიმ, აბუ ლ-ვაფამ, ბჰასკარამ და ნასირ ალ-დინ ტუსიმ, რომელთათვისაც უკვე ცნობილი იყო სინუსების თეორემა. </p><p>ტრიგონომეტრიულ ფუნქციათა ახლანდელი ცხრილების ნაცვლად ძველი მათემატიკოსები ადგენდნენ მოცემული სიგრძის რკალის მომჭიმავი ქორდების სიგრძეების ცხრილებს. ყველაზე ადრეული ასეთი ცხრილები ბერძენმა მათემატიკოსებმა შეადგინეს ჩვენ წელთაღრიცხვამდე III-II საუკუნეებში. ამ ცხრილებს ჩვენამდე არ მოუღწევია. ქორდის სიგრძეების ჩვენამდე მოღწეული ცხრილები შეადგინა ალექსანდრიელმა ასტრონომმა <a href="/w/index.php?title=%E1%83%9E%E1%83%A2%E1%83%9D%E1%83%9A%E1%83%94%E1%83%9B%E1%83%94%E1%83%9D%E1%83%A1%E1%83%9B%E1%83%90&action=edit&redlink=1" class="new" title="პტოლემეოსმა (ჯერ არაა დაწერილი)">პტოლემეოსმა</a> (II ს. ჩვ. წ. ა.). ისინი შეიცავდნენ წრეწირის ქორდების სიგრძეებს 30’-იანი ბიჯით. ამ ქორდების სიგრძეები ჩაწერილია სამნიშნა მესამოცედი წილადების სახით, ე.ი. </p> <div style="text-align: center;"> <p>a/60+b/60<sup>2</sup>+a/60<sup>3</sup> </p> </div> <p>სახით, სადაც a, b და c არის 0-დან 59-მდე მთელი რიცხვები. </p><p>Sin, Cos, Tg, Ctg, Sec, Cosec ტრიგონომეტრიული ფუნქციები, როგორც წრეწირში გავლებული მონაკვეთებს შორის სიგრძეების თანაფარდობანი გვხვდება V-X საუკუნეების ინდოელი და არაბი მათემატიკოსების შრომებში ინდოელმა მათემატიკოსმა <a href="/w/index.php?title=%E1%83%90%E1%83%A0%E1%83%98%E1%83%90%E1%83%91%E1%83%AE%E1%83%90%E1%83%A2%E1%83%90%E1%83%9B&action=edit&redlink=1" class="new" title="არიაბხატამ (ჯერ არაა დაწერილი)">არიაბხატამ</a> (V საუკუნის დასასრული) იცოდა არა მარტო Sin<sup>2</sup>a+Cos<sup>2</sup>a=1, არამედ ნახევარი არგუმენტის სინუსის, კოსინუსის და ტანგესის ფორმულებიც კი, რომლებსაც იგი იყენებდა ამ ფორმულების შესადგენად. </p><p>დასავლეთ ევროპაში ეს მიღწევები გააგრძელეს XV-XVI საუკუნის მეცნიერებმა. აქ რიგი შედეგებისა ეკუთვნის ფრანგ მათემატიკოსს <a href="/w/index.php?title=%E1%83%A4._%E1%83%95%E1%83%98%E1%83%94%E1%83%A2%E1%83%A1&action=edit&redlink=1" class="new" title="ფ. ვიეტს (ჯერ არაა დაწერილი)">ფ. ვიეტს</a> (1540-1603). დიფერენციალური აღნიშვნის წარმოშობასტან დაკავშირებით გამოყვანილ იქნა ტრიგონომეტრიულ ფუნქციათაწარმოებულების ფორმულები. ისინი არსებითად უკვე ცნობილი იყო <a href="/wiki/%E1%83%9C%E1%83%98%E1%83%A3%E1%83%A2%E1%83%9D%E1%83%9C%E1%83%98,_%E1%83%98%E1%83%A1%E1%83%90%E1%83%90%E1%83%99" class="mw-redirect" title="ნიუტონი, ისააკ">ი. ნიუტონისათვის</a>. ეს ფორმულები გეომეტრიულად გამოიყვანა <a href="/w/index.php?title=%E1%83%99%E1%83%9D%E1%83%A2%E1%83%94%E1%83%A1%E1%83%9B%E1%83%90&action=edit&redlink=1" class="new" title="კოტესმა (ჯერ არაა დაწერილი)">კოტესმა</a> (1682-1716). არგუმენტის მინუს უსასრულობიდან პლიუს უსასრულობამდე ცვლილებებისას ტრიგონომეტრიული ფუნქციების ყოფაქცევაზე საკმაოდ ნათელი წარმოდგენები გვხვდება <a href="/w/index.php?title=%E1%83%A3%E1%83%9D%E1%83%9A%E1%83%98%E1%83%A1%E1%83%98,_%E1%83%AF%E1%83%9D%E1%83%9C&action=edit&redlink=1" class="new" title="უოლისი, ჯონ (ჯერ არაა დაწერილი)">ჯ. უოლისის</a> (1616-1703) შრომებში. მაგრამ საზოგადოდ შეიძლება ითქვას, რომ ამ მიმართულებით მათემატიკოსები (<a href="/wiki/%E1%83%94%E1%83%98%E1%83%9A%E1%83%94%E1%83%A0%E1%83%98,_%E1%83%9A%E1%83%94%E1%83%9D%E1%83%9C%E1%83%90%E1%83%A0%E1%83%93" class="mw-redirect" title="ეილერი, ლეონარდ">ლ. ეილერამდე</a>) არ იჩენდნენ განსაკუთრებულ თანმიმდევრობას და ცალკეულ ამოცანებთან დაკავშირებიშ სხვადასხვანაირად ზღუდავდნენ ტრიგონომეტრიულ ფუნქციათა განსაზღვრის არეს. გარკვეული იყო აგრეთვე რა თმხედველობასი: რიცხვითი არგუმენტის ფუნქცია, თუ მონაკვეთების სიგრძეების კუთხის სიდიდეებთან ან რკალის სიგრძეებთან დამოკიდებულება. </p><p>ტრიგონომეტრიულ ფუნქციათა თეორიამ თანამედროვე სახე მხოლოდ ლ. ეილერის შრომებში მიიღო, კერძოდ მის წიგნში : "<a href="/w/index.php?title=%E1%83%A3%E1%83%A1%E1%83%90%E1%83%A1%E1%83%A0%E1%83%A3%E1%83%9A%E1%83%9D%E1%83%93_%E1%83%9B%E1%83%AA%E1%83%98%E1%83%A0%E1%83%94%E1%83%97%E1%83%90_%E1%83%90%E1%83%9C%E1%83%90%E1%83%9A%E1%83%98%E1%83%96%E1%83%98%E1%83%A1_%E1%83%A8%E1%83%94%E1%83%A1%E1%83%90%E1%83%95%E1%83%90%E1%83%9A%E1%83%98&action=edit&redlink=1" class="new" title="უსასრულოდ მცირეთა ანალიზის შესავალი (ჯერ არაა დაწერილი)">უსასრულოდ მცირეთა ანალიზის შესავალი</a>" (1748). </p> <div class="mw-heading mw-heading2"><h2 id="ლიტერატურა"><span id=".E1.83.9A.E1.83.98.E1.83.A2.E1.83.94.E1.83.A0.E1.83.90.E1.83.A2.E1.83.A3.E1.83.A0.E1.83.90"></span>ლიტერატურა</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&veaction=edit&section=3" title="სექციის რედაქტირება:ლიტერატურა" class="mw-editsection-visualeditor"><span>რედაქტირება</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&action=edit&section=3" title="Edit section's source code: ლიტერატურა"><span>წყაროს რედაქტირება</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite class="book" style="font-style:normal" id="CITEREFქსე1986"> <a href="/wiki/%E1%83%A5%E1%83%90%E1%83%A0%E1%83%97%E1%83%A3%E1%83%9A%E1%83%98_%E1%83%A1%E1%83%90%E1%83%91%E1%83%AD%E1%83%9D%E1%83%97%E1%83%90_%E1%83%94%E1%83%9C%E1%83%AA%E1%83%98%E1%83%99%E1%83%9A%E1%83%9D%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90" title="ქართული საბჭოთა ენციკლოპედია">ქართული საბჭოთა ენციკლოპედია</a>, ტ. <a rel="nofollow" class="external text" href="https://georgianencyclopedia.ge/pdf/10.pdf">10</a>, <style data-mw-deduplicate="TemplateStyles:r3722932">.mw-parser-output .ts-comment-commentedText{border-bottom:1px dotted;cursor:help}@media(hover:none){.mw-parser-output .ts-comment-commentedText:not(.rt-commentedText){border-bottom:0;cursor:auto}}</style><span class="ts-comment-commentedText" title="ბეჭდვითი სიტყვის კომბინატი">თბ.</span>, 1986. — გვ. 48.</cite></li></ul></div><script>(RLQ=window.RLQ||[]).push(function(){mw.log.warn("Gadget \"ReferenceTooltips\" was not loaded. Please migrate it to use ResourceLoader. See \u003Chttps://ka.wikipedia.org/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:Gadgets\u003E.");});</script><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">მოძიებულია „<a dir="ltr" href="https://ka.wikipedia.org/w/index.php?title=ტრიგონომეტრია&oldid=4412723">https://ka.wikipedia.org/w/index.php?title=ტრიგონომეტრია&oldid=4412723</a>“-დან</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%E1%83%A1%E1%83%9E%E1%83%94%E1%83%AA%E1%83%98%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98:%E1%83%99%E1%83%90%E1%83%A2%E1%83%94%E1%83%92%E1%83%9D%E1%83%A0%E1%83%98%E1%83%94%E1%83%91%E1%83%98" title="სპეციალური:კატეგორიები">კატეგორია</a>: <ul><li><a href="/wiki/%E1%83%99%E1%83%90%E1%83%A2%E1%83%94%E1%83%92%E1%83%9D%E1%83%A0%E1%83%98%E1%83%90:%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90" title="კატეგორია:ტრიგონომეტრია">ტრიგონომეტრია</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> ეს გვერდი ბოლოს დარედაქტირდა: 06:35, 31 აგვისტო 2022.</li> <li id="footer-info-copyright"><div>ტექსტი ვრცელდება <a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:Creative_Commons_Attribution-ShareAlike_4.0_%E1%83%A1%E1%83%90%E1%83%94%E1%83%A0%E1%83%97%E1%83%90%E1%83%A8%E1%83%9D%E1%83%A0%E1%83%98%E1%83%A1%E1%83%9D_%E1%83%9A%E1%83%98%E1%83%AA%E1%83%94%E1%83%9C%E1%83%96%E1%83%98%E1%83%98%E1%83%A1_%E1%83%A2%E1%83%94%E1%83%A5%E1%83%A1%E1%83%A2%E1%83%98" title="ვიკიპედია:Creative Commons Attribution-ShareAlike 4.0 საერთაშორისო ლიცენზიის ტექსტი">Creative Commons Attribution-ShareAlike ლიცენზიით</a> და შესაძლოა არსებობდეს დამატებითი პირობები. ამ საიტის გამოყენებით, თქვენ ეთანხმებით <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">გამოყენების პირობებსა</a> და <a class="external text" href="https://foundation.wikimedia.org/wiki/Policy:Privacy_policy">კონფიდენციალურობის პოლიტიკას</a>.</div> <div>ვიკიპედია® არის არაკომერციული ორგანიზაცია <a rel="nofollow" class="external text" href="https://www.wikimediafoundation.org/">Wikimedia Foundation, Inc.</a>-ის რეგისტრირებული სავაჭრო ნიშანი.</div> <div class="noprint"><br /><a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%A4%E1%83%9D%E1%83%A0%E1%83%A3%E1%83%9B%E1%83%98/%E1%83%93%E1%83%90%E1%83%AE%E1%83%9B%E1%83%90%E1%83%A0%E1%83%94%E1%83%91%E1%83%90" title="ვიკიპედია:ფორუმი/დახმარება">დაგვიკავშირდით</a></div></li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">კონფიდენციალურობის პოლიტიკა</a></li> <li id="footer-places-about"><a href="/wiki/%E1%83%95%E1%83%98%E1%83%99%E1%83%98%E1%83%9E%E1%83%94%E1%83%93%E1%83%98%E1%83%90:%E1%83%A8%E1%83%94%E1%83%A1%E1%83%90%E1%83%AE%E1%83%94%E1%83%91">ვიკიპედიის შესახებ</a></li> <li id="footer-places-disclaimers"><a href="/wiki/%E1%83%9E%E1%83%A0%E1%83%9D%E1%83%94%E1%83%A5%E1%83%A2%E1%83%98:%E1%83%9E%E1%83%90%E1%83%A1%E1%83%A3%E1%83%AE%E1%83%98%E1%83%A1%E1%83%9B%E1%83%92%E1%83%94%E1%83%91%E1%83%9A%E1%83%9D%E1%83%91%E1%83%98%E1%83%A1_%E1%83%A3%E1%83%90%E1%83%A0%E1%83%A7%E1%83%9D%E1%83%A4%E1%83%90">პასუხისმგებლობის უარყოფა</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">ქცევის კოდექსი</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">შემქმნელები</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/ka.wikipedia.org">სტატისტიკა</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">მზა ფაილების პოლიტიკა</a></li> <li id="footer-places-mobileview"><a href="//ka.m.wikipedia.org/w/index.php?title=%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">მობილური ვერსია</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-f69cdc8f6-44nch","wgBackendResponseTime":293,"wgPageParseReport":{"limitreport":{"cputime":"0.055","walltime":"0.144","ppvisitednodes":{"value":470,"limit":1000000},"postexpandincludesize":{"value":3475,"limit":2097152},"templateargumentsize":{"value":1755,"limit":2097152},"expansiondepth":{"value":13,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":731,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 50.296 1 -total"," 80.66% 40.570 1 თარგი:ქსე"," 73.07% 36.751 1 თარგი:წიგნი"," 55.22% 27.772 1 თარგი:Comment"," 33.16% 16.680 1 თარგი:Replace"," 11.44% 5.753 1 თარგი:Lang-grc"," 6.77% 3.404 1 თარგი:Lang-grc2"," 5.45% 2.741 2 თარგი:LangWithName"," 4.84% 2.434 1 თარგი:ადგილის_მითითება_ბიბლიობმულებში"]},"scribunto":{"limitreport-timeusage":{"value":"0.002","limit":"10.000"},"limitreport-memusage":{"value":593956,"limit":52428800}},"cachereport":{"origin":"mw-web.eqiad.main-7f58d5dcf5-v6fnf","timestamp":"20241110181918","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"\u10e2\u10e0\u10d8\u10d2\u10dd\u10dc\u10dd\u10db\u10d4\u10e2\u10e0\u10d8\u10d0","url":"https:\/\/ka.wikipedia.org\/wiki\/%E1%83%A2%E1%83%A0%E1%83%98%E1%83%92%E1%83%9D%E1%83%9C%E1%83%9D%E1%83%9B%E1%83%94%E1%83%A2%E1%83%A0%E1%83%98%E1%83%90","sameAs":"http:\/\/www.wikidata.org\/entity\/Q8084","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q8084","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2006-11-12T03:31:32Z"}</script> </body> </html>