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ns-0 ns-subject mw-editable page-Јединични_круг rootpage-Јединични_круг skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Пређи на садржај</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="Сајт"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" lang="sr-Cyrl" dir="ltr"> <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="Главни мени" > <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 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href="/w/index.php?title=%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%9E%D1%82%D0%B2%D0%BE%D1%80%D0%B8_%D0%BD%D0%B0%D0%BB%D0%BE%D0%B3&returnto=%D0%88%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B8+%D0%BA%D1%80%D1%83%D0%B3&returntoquery=variant%3Dsr-ec" title="Иако није обавезно, препоручујемо да отворите налог и пријавите се" class=""><span>Отвори налог</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=%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D0%BD%D0%B8%D1%87%D0%BA%D0%B0_%D0%BF%D1%80%D0%B8%D1%98%D0%B0%D0%B2%D0%B0&returnto=%D0%88%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B8+%D0%BA%D1%80%D1%83%D0%B3&returntoquery=variant%3Dsr-ec" title="Иако није обавезно, препоручујемо да се пријавите [o]" accesskey="o" class=""><span>Пријави ме</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown 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2024\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; font-size:25px; line-height:25px\"\u003E\u003Cdiv style=\"padding-left:50px;\"\u003E\u003C/div\u003E\u003C/div\u003E\u003Cdiv style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EУ току је такмичење у писању чланака на тему \u003Cb\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%A2%D0%B0%D0%BA%D0%BC%D0%B8%D1%87%D0%B5%D1%9A%D0%B5_%D1%83_%D0%BF%D0%B8%D1%81%D0%B0%D1%9A%D1%83_%D1%87%D0%BB%D0%B0%D0%BD%D0%B0%D0%BA%D0%B0/%D0%A3_%D1%81%D0%B2%D0%B5%D1%82%D1%83_%D0%A4%D0%BB%D0%BE%D1%80%D0%B5_%D0%B8_%D0%A4%D0%B0%D1%83%D0%BD%D0%B5\" title=\"Википедија:Такмичење у писању чланака/У свету Флоре и Фауне\"\u003EФлоре и фауне\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; font-size:25px; line-height:25px\"\u003E\u003Cdiv style=\"padding-left:50px;\"\u003E\u003C/div\u003E\u003C/div\u003E\u003Cdiv style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EПридружите се \u003Cb\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%A3%D1%80%D0%B5%D1%92%D0%B8%D0%B2%D0%B0%D1%87%D0%BA%D0%B8_%D0%BC%D0%B0%D1%80%D0%B0%D1%82%D0%BE%D0%BD_%D0%92%D0%B8%D0%BA%D0%B8_%D0%B2%D0%BE%D0%BB%D0%B8_%D1%98%D0%B0%D0%B2%D0%BD%D1%83_%D1%83%D0%BC%D0%B5%D1%82%D0%BD%D0%BE%D1%81%D1%82_%D0%B8_%D0%B3%D1%80%D0%BE%D0%B1%D0%BD%D0%B0_%D0%BE%D0%B1%D0%B5%D0%BB%D0%B5%D0%B6%D1%98%D0%B0_2024.\" title=\"Википедија:Уређивачки маратон Вики воли јавну уметност и гробна обележја 2024.\"\u003EУређивачком маратону Вики воли јавну уметност и гробна обележја 2024\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv 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значајних жена\u003C/a\u003E\u003C/b\u003E на Викицитату.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\n\u003Cdiv class=\"noticebanner\"\u003E\u003Cdiv class=\"plainlinks\" style=\"background-color: #FBEBEA; border-radius:5px; margin-top:10px; position:relative; border: 1px solid #aaa; font-family: \u0026#39;Helvetica\u0026#39;, \u0026#39;Arial\u0026#39;, sans-serif; line-height: 18px; box-shadow: 0 1px 1px rgba( 0, 0, 0, 0.15 ); overflow:hidden;\"\u003E\u003Cdiv style=\"display:block; top:4px; width:100%; text-align:center;;\"\u003E\u003Cdiv style=\"color:#000085; font-size:25px; line-height:25px\"\u003E\u003Cdiv style=\"padding-left:50px;\"\u003E\u003C/div\u003E\u003C/div\u003E\u003Cdiv style=\"padding-top:2px; color:#444; font-size:1.15em; line-height:1.5;\"\u003E\u003Cdiv style=\"padding-left:8px; padding-right:8px;\"\u003EПридружите се \u003Cb\u003E\u003Ca href=\"/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%90%D0%BA%D1%86%D0%B8%D1%98%D0%B0_%D0%BF%D1%80%D0%BE%D1%88%D0%B8%D1%80%D0%B8%D0%B2%D0%B0%D1%9A%D0%B0_%D0%BA%D0%BB%D0%B8%D1%86%D0%B0\" title=\"Википедија:Акција проширивања клица\"\u003Eакцији проширивања клица\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\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="Сајт"> <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="Садржај" 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">Садржај</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">помери на страну</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">сакриј</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">Почетак</div> </a> </li> <li id="toc-Тригонометријске_функције_на_јединичном_кругу" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Тригонометријске_функције_на_јединичном_кругу"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Тригонометријске функције на јединичном кругу</span> </div> </a> <ul id="toc-Тригонометријске_функције_на_јединичном_кругу-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Спољашње_везе" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Спољашње_везе"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Спољашње везе</span> </div> </a> <ul id="toc-Спољашње_везе-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="Садржај" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" lang="sr-Cyrl" dir="ltr"> <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="Прикажи/сакриј садржај" > <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">Прикажи/сакриј садржај</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" lang="sr-Cyrl" dir="ltr"><span class="mw-page-title-main">Јединични круг</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" lang="sr-Cyrl" dir="ltr"> <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="Чланак на другим језицима. Доступан на: 59" > <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-59" 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">59 језика</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AF%D8%A7%D8%A6%D8%B1%D8%A9_%D9%88%D8%AD%D8%AF%D8%A9" title="دائرة وحدة — арапски" lang="ar" hreflang="ar" data-title="دائرة وحدة" data-language-autonym="العربية" data-language-local-name="арапски" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Lingkaran_satuan" title="Lingkaran satuan — индонежански" lang="id" hreflang="id" data-title="Lingkaran satuan" data-language-autonym="Bahasa Indonesia" data-language-local-name="индонежански" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B0_%D0%BE%D0%BA%D1%80%D1%8A%D0%B6%D0%BD%D0%BE%D1%81%D1%82" title="Единична окръжност — бугарски" lang="bg" hreflang="bg" data-title="Единична окръжност" data-language-autonym="Български" data-language-local-name="бугарски" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Tan-%C5%ABi-%C3%AE%E2%81%BF" title="Tan-ūi-îⁿ — Minnan" lang="nan" hreflang="nan" data-title="Tan-ūi-îⁿ" 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-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B4%D0%B7%D1%96%D0%BD%D0%BA%D0%B0%D0%B2%D0%B0%D1%8F_%D0%B0%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%B0%D1%81%D1%86%D1%8C" title="Адзінкавая акружнасць — белоруски" lang="be" hreflang="be" data-title="Адзінкавая акружнасць" data-language-autonym="Беларуская" data-language-local-name="белоруски" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%8F%E0%A6%95%E0%A6%95_%E0%A6%AC%E0%A7%83%E0%A6%A4%E0%A7%8D%E0%A6%A4" title="একক বৃত্ত — бенгалски" lang="bn" hreflang="bn" data-title="একক বৃত্ত" data-language-autonym="বাংলা" data-language-local-name="бенгалски" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Jedini%C4%8Dni_krug" title="Jedinični krug — босански" lang="bs" hreflang="bs" data-title="Jedinični krug" data-language-autonym="Bosanski" data-language-local-name="босански" 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/Circumfer%C3%A8ncia_goniom%C3%A8trica" title="Circumferència goniomètrica — каталонски" lang="ca" hreflang="ca" data-title="Circumferència goniomètrica" data-language-autonym="Català" data-language-local-name="каталонски" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9F%C4%95%D1%80%D1%87%C4%95%D0%BB%D0%BB%D0%B5_%C3%A7%D0%B0%D0%B2%D1%80%D0%B0%D0%BA%C4%83%D1%88" title="Пĕрчĕлле çавракăш — чувашки" lang="cv" hreflang="cv" data-title="Пĕрчĕлле çавракăш" data-language-autonym="Чӑвашла" data-language-local-name="чувашки" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Jednotkov%C3%A1_kru%C5%BEnice" title="Jednotková kružnice — чешки" lang="cs" hreflang="cs" data-title="Jednotková kružnice" data-language-autonym="Čeština" data-language-local-name="чешки" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Enhedscirklen" title="Enhedscirklen — дански" lang="da" hreflang="da" data-title="Enhedscirklen" data-language-autonym="Dansk" data-language-local-name="дански" 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/Einheitskreis" title="Einheitskreis — немачки" lang="de" hreflang="de" data-title="Einheitskreis" data-language-autonym="Deutsch" data-language-local-name="немачки" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/%C3%9Chikringjoon" title="Ühikringjoon — естонски" lang="et" hreflang="et" data-title="Ühikringjoon" data-language-autonym="Eesti" data-language-local-name="естонски" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%BF%CE%BD%CE%B1%CE%B4%CE%B9%CE%B1%CE%AF%CE%BF%CF%82_%CE%BA%CF%8D%CE%BA%CE%BB%CE%BF%CF%82" title="Μοναδιαίος κύκλος — грчки" lang="el" hreflang="el" data-title="Μοναδιαίος κύκλος" data-language-autonym="Ελληνικά" data-language-local-name="грчки" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Unit_circle" title="Unit circle — енглески" lang="en" hreflang="en" data-title="Unit circle" data-language-autonym="English" data-language-local-name="енглески" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Circunferencia_goniom%C3%A9trica" title="Circunferencia goniométrica — шпански" lang="es" hreflang="es" data-title="Circunferencia goniométrica" data-language-autonym="Español" data-language-local-name="шпански" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Unuocirklo" title="Unuocirklo — есперанто" lang="eo" hreflang="eo" data-title="Unuocirklo" data-language-autonym="Esperanto" data-language-local-name="есперанто" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AF%D8%A7%DB%8C%D8%B1%D9%87_%D9%88%D8%A7%D8%AD%D8%AF" title="دایره واحد — персијски" lang="fa" hreflang="fa" data-title="دایره واحد" data-language-autonym="فارسی" data-language-local-name="персијски" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Cercle_unit%C3%A9" title="Cercle unité — француски" lang="fr" hreflang="fr" data-title="Cercle unité" data-language-autonym="Français" data-language-local-name="француски" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Circunferencia_goniom%C3%A9trica" title="Circunferencia goniométrica — галицијски" lang="gl" hreflang="gl" data-title="Circunferencia goniométrica" data-language-autonym="Galego" data-language-local-name="галицијски" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A2%D7%92%D7%9C_%D7%94%D7%99%D7%97%D7%99%D7%93%D7%94" title="מעגל היחידה — хебрејски" lang="he" hreflang="he" data-title="מעגל היחידה" data-language-autonym="עברית" data-language-local-name="хебрејски" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Jedini%C4%8Dna_kru%C5%BEnica" title="Jedinična kružnica — хрватски" lang="hr" hreflang="hr" data-title="Jedinična kružnica" data-language-autonym="Hrvatski" data-language-local-name="хрватски" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%AB%D5%A1%D5%BE%D5%B8%D6%80_%D5%B7%D6%80%D5%BB%D5%A1%D5%B6%D5%A1%D5%A3%D5%AB%D5%AE" title="Միավոր շրջանագիծ — јерменски" lang="hy" hreflang="hy" data-title="Միավոր շրջանագիծ" data-language-autonym="Հայերեն" data-language-local-name="јерменски" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Circonferenza_unitaria" title="Circonferenza unitaria — италијански" lang="it" hreflang="it" data-title="Circonferenza unitaria" data-language-autonym="Italiano" data-language-local-name="италијански" 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/%E5%8D%98%E4%BD%8D%E5%86%86" title="単位円 — јапански" lang="ja" hreflang="ja" data-title="単位円" data-language-autonym="日本語" data-language-local-name="јапански" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%91%D0%B8%D1%80%D0%B4%D0%B8%D0%BA_%D0%B0%D0%B9%D0%BB%D0%B0%D0%BD%D0%B0" title="Бирдик айлана — киргиски" lang="ky" hreflang="ky" data-title="Бирдик айлана" data-language-autonym="Кыргызча" data-language-local-name="киргиски" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%9A%E1%9E%84%E1%9F%92%E1%9E%9C%E1%9E%84%E1%9F%8B%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="រង្វង់ត្រីកោណមាត្រ — кмерски" lang="km" hreflang="km" data-title="រង្វង់ត្រីកោណមាត្រ" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="кмерски" 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/%EB%8B%A8%EC%9C%84%EC%9B%90" title="단위원 — корејски" lang="ko" hreflang="ko" data-title="단위원" data-language-autonym="한국어" data-language-local-name="корејски" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Trigonometrisk%C4%81_ri%C5%86%C4%B7a_l%C4%ABnija" title="Trigonometriskā riņķa līnija — летонски" lang="lv" hreflang="lv" data-title="Trigonometriskā riņķa līnija" data-language-autonym="Latviešu" data-language-local-name="летонски" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Vienetinis_apskritimas" title="Vienetinis apskritimas — литвански" lang="lt" hreflang="lt" data-title="Vienetinis apskritimas" data-language-autonym="Lietuvių" data-language-local-name="литвански" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%95%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B0_%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%B8%D1%86%D0%B0" title="Единична кружница — македонски" lang="mk" hreflang="mk" data-title="Единична кружница" data-language-autonym="Македонски" data-language-local-name="македонски" 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%AF%E0%B5%82%E0%B4%A3%E0%B4%BF%E0%B4%B1%E0%B5%8D%E0%B4%B1%E0%B5%8D_%E0%B4%B5%E0%B5%83%E0%B4%A4%E0%B5%8D%E0%B4%A4%E0%B4%82" title="യൂണിറ്റ് വൃത്തം — малајалам" lang="ml" hreflang="ml" data-title="യൂണിറ്റ് വൃത്തം" data-language-autonym="മലയാളം" data-language-local-name="малајалам" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9D%D1%8D%D0%B3%D0%B6_%D1%82%D0%BE%D0%B9%D1%80%D0%BE%D0%B3" title="Нэгж тойрог — монголски" lang="mn" hreflang="mn" data-title="Нэгж тойрог" data-language-autonym="Монгол" data-language-local-name="монголски" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Eenheidscirkel" title="Eenheidscirkel — холандски" lang="nl" hreflang="nl" data-title="Eenheidscirkel" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Enhetssirkelen" title="Enhetssirkelen — норвешки букмол" lang="nb" hreflang="nb" data-title="Enhetssirkelen" data-language-autonym="Norsk bokmål" data-language-local-name="норвешки букмол" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Einingssirkel" title="Einingssirkel — норвешки нинорск" lang="nn" hreflang="nn" data-title="Einingssirkel" data-language-autonym="Norsk nynorsk" data-language-local-name="норвешки нинорск" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Sirconferensa_goniom%C3%A9trica" title="Sirconferensa goniométrica — Piedmontese" lang="pms" hreflang="pms" data-title="Sirconferensa goniométrica" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Okr%C4%85g_jednostkowy" title="Okrąg jednostkowy — пољски" lang="pl" hreflang="pl" data-title="Okrąg jednostkowy" data-language-autonym="Polski" data-language-local-name="пољски" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/C%C3%ADrculo_unit%C3%A1rio" title="Círculo unitário — португалски" lang="pt" hreflang="pt" data-title="Círculo unitário" data-language-autonym="Português" data-language-local-name="португалски" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Cerc_trigonometric" title="Cerc trigonometric — румунски" lang="ro" hreflang="ro" data-title="Cerc trigonometric" data-language-autonym="Română" data-language-local-name="румунски" 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%95%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D0%BE%D0%BA%D1%80%D1%83%D0%B6%D0%BD%D0%BE%D1%81%D1%82%D1%8C" title="Единичная окружность — руски" lang="ru" hreflang="ru" data-title="Единичная окружность" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Rrethi_nj%C3%ABsi" title="Rrethi njësi — албански" lang="sq" hreflang="sq" data-title="Rrethi njësi" data-language-autonym="Shqip" data-language-local-name="албански" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Unit_circle" title="Unit circle — Simple English" lang="en-simple" hreflang="en-simple" data-title="Unit circle" 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/Jednotkov%C3%A1_kru%C5%BEnica" title="Jednotková kružnica — словачки" lang="sk" hreflang="sk" data-title="Jednotková kružnica" data-language-autonym="Slovenčina" data-language-local-name="словачки" 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/Enotska_kro%C5%BEnica" title="Enotska krožnica — словеначки" lang="sl" hreflang="sl" data-title="Enotska krožnica" data-language-autonym="Slovenščina" data-language-local-name="словеначки" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A8%D8%A7%D8%B2%D9%86%DB%95%DB%8C_%DB%8C%DB%95%DA%A9%DB%95" title="بازنەی یەکە — централни курдски" lang="ckb" hreflang="ckb" data-title="بازنەی یەکە" data-language-autonym="کوردی" data-language-local-name="централни курдски" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Jedini%C4%8Dni_krug" title="Jedinični krug — српскохрватски" lang="sh" hreflang="sh" data-title="Jedinični krug" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="српскохрватски" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Yksikk%C3%B6ympyr%C3%A4" title="Yksikköympyrä — фински" lang="fi" hreflang="fi" data-title="Yksikköympyrä" data-language-autonym="Suomi" data-language-local-name="фински" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Enhetscirkel" title="Enhetscirkel — шведски" lang="sv" hreflang="sv" data-title="Enhetscirkel" data-language-autonym="Svenska" data-language-local-name="шведски" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%93%E0%AE%B0%E0%AE%B2%E0%AE%95%E0%AF%81_%E0%AE%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%AE%E0%AF%8D" title="ஓரலகு வட்டம் — тамилски" lang="ta" hreflang="ta" data-title="ஓரலகு வட்டம்" data-language-autonym="தமிழ்" data-language-local-name="тамилски" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A7%E0%B8%87%E0%B8%81%E0%B8%A5%E0%B8%A1%E0%B8%AB%E0%B8%99%E0%B8%B6%E0%B9%88%E0%B8%87%E0%B8%AB%E0%B8%99%E0%B9%88%E0%B8%A7%E0%B8%A2" title="วงกลมหนึ่งหน่วย — тајски" lang="th" hreflang="th" data-title="วงกลมหนึ่งหน่วย" data-language-autonym="ไทย" data-language-local-name="тајски" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/%C4%90%C6%B0%E1%BB%9Dng_tr%C3%B2n_%C4%91%C6%A1n_v%E1%BB%8B" title="Đường tròn đơn vị — вијетнамски" lang="vi" hreflang="vi" data-title="Đường tròn đơn vị" data-language-autonym="Tiếng Việt" data-language-local-name="вијетнамски" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Birim_%C3%A7ember" title="Birim çember — турски" lang="tr" hreflang="tr" data-title="Birim çember" data-language-autonym="Türkçe" data-language-local-name="турски" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B5_%D0%BA%D0%BE%D0%BB%D0%BE" title="Одиничне коло — украјински" lang="uk" hreflang="uk" data-title="Одиничне коло" data-language-autonym="Українська" data-language-local-name="украјински" 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/%D8%A7%DB%8C%DA%A9%D8%A7%D8%A6%DB%8C_%D8%AF%D8%A7%D8%A6%D8%B1%DB%81" title="ایکائی دائرہ — урду" lang="ur" hreflang="ur" data-title="ایکائی دائرہ" data-language-autonym="اردو" data-language-local-name="урду" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%8D%95%E4%BD%8D%E5%9C%86" title="单位圆 — ву кинески" lang="wuu" hreflang="wuu" data-title="单位圆" data-language-autonym="吴语" data-language-local-name="ву кинески" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%90%D7%99%D7%99%D7%A0%D7%A1_%D7%A7%D7%A8%D7%99%D7%99%D7%96" title="איינס קרייז — јидиш" lang="yi" hreflang="yi" data-title="איינס קרייז" data-language-autonym="ייִדיש" data-language-local-name="јидиш" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%8D%95%E4%BD%8D%E5%9C%86" title="单位圆 — кинески" lang="zh" hreflang="zh" data-title="单位圆" data-language-autonym="中文" data-language-local-name="кинески" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%96%AE%E4%BD%8D%E5%9C%93" title="單位圓 — кантонски" lang="yue" hreflang="yue" data-title="單位圓" data-language-autonym="粵語" data-language-local-name="кантонски" 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/Q203425#sitelinks-wikipedia" title="Уреди међујезичке везе" class="wbc-editpage">Уреди везе</a></span></div> </div> </div> </div> </header> <div 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srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8f/Unit_circle.svg/330px-Unit_circle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8f/Unit_circle.svg/440px-Unit_circle.svg.png 2x" data-file-width="352" data-file-height="352" /></a><figcaption>Илустрација јединичног круга. <b>t</b> је мерни <a href="/wiki/%D0%A3%D0%B3%D0%B0%D0%BE" title="Угао">угао</a></figcaption></figure> <p>У <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика">математици</a>, <b>јединични круг</b> је <a href="/wiki/%D0%9A%D1%80%D1%83%D0%B3" title="Круг">круг</a> чији је полупречник 1. Често се, нарочито у <a href="/wiki/%D0%93%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%98%D0%B0" title="Геометрија">геометрији</a>, јединичним кругом сматра круг са полупречником 1 чији се центар налази у координатном почетку (0,0). </p><p><br /> Ако су (<i>x</i>, <i>y</i>) тачке на кружници јединичног круга у првом квадранту, онда су <i>x</i> и <i>y</i> катете правоуглог троугла (исечци на <i>x</i> и <i>y</i> оси) чија је <a href="/wiki/%D0%A5%D0%B8%D0%BF%D0%BE%D1%82%D0%B5%D0%BD%D1%83%D0%B7%D0%B0" title="Хипотенуза">хипотенуза</a> (полупречник) 1. Према <a href="/wiki/%D0%9F%D0%B8%D1%82%D0%B0%D0%B3%D0%BE%D1%80%D0%B8%D0%BD%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0" title="Питагорина теорема">Питагориној теореми</a> <i>x</i> и <i>y</i> задовољавају једначину </p><p><br /> </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 x^{2}+y^{2}=1\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>1</mn> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+y^{2}=1\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f3355977edf02b3a9c4fe9c3a4786007359d4fd8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:12.087ex; height:3.009ex;" alt="{\displaystyle x^{2}+y^{2}=1\,\!}"></span></dd></dl> <p><br /> Пошто је <i>x</i><sup>2</sup> = (−<i>x</i>)<sup>2</sup> за свако <i>x</i>, и пошто су одсечци свих тачака на јединичном кругу око <i>x</i> и <i>y</i> оса и на јединичном кругу, претходна једначина важи за све тачке (<i>x</i>, <i>y</i>) на јединичном кругу, не само за први квадрант. </p><p><br /> </p> <div class="mw-heading mw-heading2"><h2 id="Тригонометријске_функције_на_јединичном_кругу"><span id=".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.D1.81.D0.BA.D0.B5_.D1.84.D1.83.D0.BD.D0.BA.D1.86.D0.B8.D1.98.D0.B5_.D0.BD.D0.B0_.D1.98.D0.B5.D0.B4.D0.B8.D0.BD.D0.B8.D1.87.D0.BD.D0.BE.D0.BC_.D0.BA.D1.80.D1.83.D0.B3.D1.83"></span>Тригонометријске функције на јединичном кругу</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%88%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B8_%D0%BA%D1%80%D1%83%D0%B3&veaction=edit&section=1" title="Уредите одељак „Тригонометријске функције на јединичном кругу”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%88%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B8_%D0%BA%D1%80%D1%83%D0%B3&action=edit&section=1" title="Уреди извор одељка: Тригонометријске функције на јединичном кругу"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Тригонометријске функције синус и косинус могу бити дефинисане на јединичном кругу на следећи начин. Уколико је (<i>x</i>, <i>y</i>) тачка на јединичном кругу и уколико дуж из координатног почетка до тачке (<i>x</i>, <i>y</i>) чини <a href="/wiki/%D0%A3%D0%B3%D0%B0%D0%BE" title="Угао">угао</a> <i>t</i> са позитивним делом x-осе (у смеру супротним од смера казаљке на сату), тада важи: </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 \cos(t)=x\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>x</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cos(t)=x\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e91f69a7802ffc14612b91dc14124827f202602a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-right: -0.387ex; width:10.575ex; height:2.843ex;" alt="{\displaystyle \cos(t)=x\,\!}"></span></dd> <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 \sin(t)=y\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>y</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sin(t)=y\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d9376b576059b4e0082bb107edc2199d0bc9cf12" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-right: -0.387ex; width:10.146ex; height:2.843ex;" alt="{\displaystyle \sin(t)=y\,\!}"></span></dd></dl> <p>Једначина <i>x</i><sup>2</sup> + <i>y</i><sup>2</sup> = 1 даје познату релацију </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 \cos ^{2}(t)+\sin ^{2}(t)=1\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>+</mo> <msup> <mi>sin</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cos ^{2}(t)+\sin ^{2}(t)=1\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/69a912ff32588be615198cf75e49e9463b3f4cfa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-right: -0.387ex; width:20.861ex; height:3.176ex;" alt="{\displaystyle \cos ^{2}(t)+\sin ^{2}(t)=1\,\!}"></span></dd></dl> <p>Јединични круг такође даје увид да су синус и косинус периодичне функције једнакостима: </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 \cos t=\cos(2\pi k+t)\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>cos</mi> <mo>⁡</mo> <mi>t</mi> <mo>=</mo> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mi>π</mi> <mi>k</mi> <mo>+</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cos t=\cos(2\pi k+t)\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/455cd2fbb897f57314112d3c9205ec8446b74197" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-right: -0.387ex; width:20.129ex; height:2.843ex;" alt="{\displaystyle \cos t=\cos(2\pi k+t)\,\!}"></span></dd> <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 \sin t=\sin(2\pi k+t)\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>sin</mi> <mo>⁡</mo> <mi>t</mi> <mo>=</mo> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mi>π</mi> <mi>k</mi> <mo>+</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sin t=\sin(2\pi k+t)\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/609a13a0aec95e14aab2f3925a191d7203c3292f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-right: -0.387ex; width:19.619ex; height:2.843ex;" alt="{\displaystyle \sin t=\sin(2\pi k+t)\,\!}"></span></dd> <dd>за сваки цео број <i>k</i>.</dd></dl> <p>Ове једнакости полазе од чињенице да <i>x</i> и <i>y</i> координате тачке на кругу остају исте уколико угао <i>t</i> направи било који број обртаја (1 обртај = 2π радијана). </p><p>Када се ради са правоуглим троугловима, синус и косинус, као и остале тригонометријске функције имају смисла само ако је угао већи од 0 и мањи од π/2. Користећи јединични круг, ове функције добијају смисао за било коју реалну вредност угла. </p> <div class="mw-heading mw-heading2"><h2 id="Спољашње_везе"><span id=".D0.A1.D0.BF.D0.BE.D1.99.D0.B0.D1.88.D1.9A.D0.B5_.D0.B2.D0.B5.D0.B7.D0.B5"></span>Спољашње везе</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%88%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B8_%D0%BA%D1%80%D1%83%D0%B3&veaction=edit&section=2" title="Уредите одељак „Спољашње везе”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%88%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D1%87%D0%BD%D0%B8_%D0%BA%D1%80%D1%83%D0%B3&action=edit&section=2" title="Уреди извор одељка: Спољашње везе"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r25554621">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><div class="side-box side-box-right plainlinks sistersitebox"><style data-mw-deduplicate="TemplateStyles:r25554968">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist"><span style="font-weight:bold; 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