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class="vector-toc-link" href="#Contoh_kejadian"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Contoh kejadian</span> </div> </a> <ul id="toc-Contoh_kejadian-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Seri_Fourier" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Seri_Fourier"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Seri Fourier</span> </div> </a> <ul id="toc-Seri_Fourier-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referensi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referensi"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Referensi</span> </div> </a> <ul id="toc-Referensi-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="Daftar isi" 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="Gulingkan daftar isi" > <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">Gulingkan daftar isi</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">Gelombang sinus</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="Pergi ke artikel dalam bahasa lain. Terdapat 52 bahasa" > <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-52" 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">52 bahasa</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/%D9%85%D9%88%D8%AC%D8%A9_%D8%AC%D9%8A%D8%A8%D9%8A%D8%A9" title="موجة جيبية – Arab" lang="ar" hreflang="ar" data-title="موجة جيبية" data-language-autonym="العربية" data-language-local-name="Arab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A6%BE%E0%A6%87%E0%A6%A8_%E0%A6%A4%E0%A6%B0%E0%A6%99%E0%A7%8D%E0%A6%97" title="সাইন তরঙ্গ – Bengali" lang="bn" hreflang="bn" data-title="সাইন তরঙ্গ" data-language-autonym="বাংলা" data-language-local-name="Bengali" 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/Sinusoida" title="Sinusoida – Bosnia" lang="bs" hreflang="bs" data-title="Sinusoida" data-language-autonym="Bosanski" data-language-local-name="Bosnia" 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/Sinusoide" title="Sinusoide – Katalan" lang="ca" hreflang="ca" data-title="Sinusoide" data-language-autonym="Català" data-language-local-name="Katalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Sinusoida" title="Sinusoida – Cheska" lang="cs" hreflang="cs" data-title="Sinusoida" data-language-autonym="Čeština" data-language-local-name="Cheska" 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%A1%D0%B8%D0%BD%D1%83%D1%81%D0%BE%D0%B8%D0%B4%D0%B0" title="Синусоида – Chuvash" lang="cv" hreflang="cv" data-title="Синусоида" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Sinusb%C3%B8lge" title="Sinusbølge – Dansk" lang="da" hreflang="da" data-title="Sinusbølge" data-language-autonym="Dansk" data-language-local-name="Dansk" 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/Sinusoid" title="Sinusoid – Jerman" lang="de" hreflang="de" data-title="Sinusoid" data-language-autonym="Deutsch" data-language-local-name="Jerman" 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%97%CE%BC%CE%B9%CF%84%CE%BF%CE%BD%CE%BF%CE%B5%CE%B9%CE%B4%CE%AE%CF%82_%CE%BA%CE%B1%CE%BC%CF%80%CF%8D%CE%BB%CE%B7" title="Ημιτονοειδής καμπύλη – Yunani" lang="el" hreflang="el" data-title="Ημιτονοειδής καμπύλη" data-language-autonym="Ελληνικά" data-language-local-name="Yunani" 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/Sine_wave" title="Sine wave – Inggris" lang="en" hreflang="en" data-title="Sine wave" data-language-autonym="English" data-language-local-name="Inggris" 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/Sinusoido" title="Sinusoido – Esperanto" lang="eo" hreflang="eo" data-title="Sinusoido" data-language-autonym="Esperanto" data-language-local-name="Esperanto" 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/Sinusoide" title="Sinusoide – Spanyol" lang="es" hreflang="es" data-title="Sinusoide" data-language-autonym="Español" data-language-local-name="Spanyol" 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/Sinusoid" title="Sinusoid – Esti" lang="et" hreflang="et" data-title="Sinusoid" data-language-autonym="Eesti" data-language-local-name="Esti" 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/Sinusoide" title="Sinusoide – Basque" lang="eu" hreflang="eu" data-title="Sinusoide" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D9%88%D8%AC_%D8%B3%DB%8C%D9%86%D9%88%D8%B3%DB%8C" title="موج سینوسی – Persia" lang="fa" hreflang="fa" data-title="موج سینوسی" data-language-autonym="فارسی" data-language-local-name="Persia" 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/Siniaalto" title="Siniaalto – Suomi" lang="fi" hreflang="fi" data-title="Siniaalto" data-language-autonym="Suomi" data-language-local-name="Suomi" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Signal_sinuso%C3%AFdal" title="Signal sinusoïdal – Prancis" lang="fr" hreflang="fr" data-title="Signal sinusoïdal" data-language-autonym="Français" data-language-local-name="Prancis" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE_%E0%A4%A4%E0%A4%B0%E0%A4%82%E0%A4%97" title="ज्या तरंग – Hindi" lang="hi" hreflang="hi" data-title="ज्या तरंग" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Ond_sinisoyidal" title="Ond sinisoyidal – Kreol Haiti" lang="ht" hreflang="ht" data-title="Ond sinisoyidal" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Kreol Haiti" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8D%D5%AB%D5%B6%D5%B8%D6%82%D5%BD%D5%B8%D5%AB%D5%A4" title="Սինուսոիդ – Armenia" lang="hy" hreflang="hy" data-title="Սինուսոիդ" data-language-autonym="Հայերեն" data-language-local-name="Armenia" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Sinusoido" title="Sinusoido – Ido" lang="io" hreflang="io" data-title="Sinusoido" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Onda_sinusoidale" title="Onda sinusoidale – Italia" lang="it" hreflang="it" data-title="Onda sinusoidale" data-language-autonym="Italiano" data-language-local-name="Italia" 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/%E6%AD%A3%E5%BC%A6%E6%B3%A2" title="正弦波 – Jepang" lang="ja" hreflang="ja" data-title="正弦波" data-language-autonym="日本語" data-language-local-name="Jepang" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A1%E1%83%98%E1%83%9C%E1%83%A3%E1%83%A1%E1%83%9D%E1%83%98%E1%83%93%E1%83%90%E1%83%9A%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%A2%E1%83%90%E1%83%9A%E1%83%A6%E1%83%90" title="სინუსოიდალური ტალღა – Georgia" lang="ka" hreflang="ka" data-title="სინუსოიდალური ტალღა" data-language-autonym="ქართული" data-language-local-name="Georgia" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%82%AC%EC%9D%B8%ED%8C%8C" title="사인파 – Korea" lang="ko" hreflang="ko" data-title="사인파" data-language-autonym="한국어" data-language-local-name="Korea" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lez mw-list-item"><a href="https://lez.wikipedia.org/wiki/%D0%A1%D0%B8%D0%BD%D1%83%D1%81%D0%BE%D0%B8%D0%B4%D0%B0" title="Синусоида – Lezghia" lang="lez" hreflang="lez" data-title="Синусоида" data-language-autonym="Лезги" data-language-local-name="Lezghia" class="interlanguage-link-target"><span>Лезги</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Sinusoid%C4%97" title="Sinusoidė – Lituavi" lang="lt" hreflang="lt" data-title="Sinusoidė" data-language-autonym="Lietuvių" data-language-local-name="Lituavi" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%A1%D0%B8%D0%BD%D1%83%D1%81%D0%BE%D0%B8%D0%B4%D0%B0%D1%81%D1%8C" title="Синусоидась – Moksha" lang="mdf" hreflang="mdf" data-title="Синусоидась" data-language-autonym="Мокшень" data-language-local-name="Moksha" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A1%D0%B8%D0%BD%D1%83%D1%81%D0%B5%D0%BD_%D0%B1%D1%80%D0%B0%D0%BD" title="Синусен бран – Makedonia" lang="mk" hreflang="mk" data-title="Синусен бран" data-language-autonym="Македонски" data-language-local-name="Makedonia" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Gelombang_sinus" title="Gelombang sinus – Melayu" lang="ms" hreflang="ms" data-title="Gelombang sinus" data-language-autonym="Bahasa Melayu" data-language-local-name="Melayu" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Sinuso%C3%AFde" title="Sinusoïde – Belanda" lang="nl" hreflang="nl" data-title="Sinusoïde" data-language-autonym="Nederlands" data-language-local-name="Belanda" 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/Sinuskurve" title="Sinuskurve – Nynorsk Norwegia" lang="nn" hreflang="nn" data-title="Sinuskurve" data-language-autonym="Norsk nynorsk" data-language-local-name="Nynorsk Norwegia" 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/Sinuskurve" title="Sinuskurve – Bokmål Norwegia" lang="nb" hreflang="nb" data-title="Sinuskurve" data-language-autonym="Norsk bokmål" data-language-local-name="Bokmål Norwegia" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A8%BE%E0%A8%88%E0%A8%A8_%E0%A8%B5%E0%A9%87%E0%A8%B5" title="ਸਾਈਨ ਵੇਵ – Punjabi" lang="pa" hreflang="pa" data-title="ਸਾਈਨ ਵੇਵ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" 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/Fala_sinusoidalna" title="Fala sinusoidalna – Polski" lang="pl" hreflang="pl" data-title="Fala sinusoidalna" data-language-autonym="Polski" data-language-local-name="Polski" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%B3%D8%A7%D8%A6%DB%8C%D9%86_%D9%88%DB%8C%D9%88" title="سائین ویو – Western Punjabi" lang="pnb" hreflang="pnb" data-title="سائین ویو" 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/Senoide" title="Senoide – Portugis" lang="pt" hreflang="pt" data-title="Senoide" data-language-autonym="Português" data-language-local-name="Portugis" 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/Sinusoid%C4%83" title="Sinusoidă – Rumania" lang="ro" hreflang="ro" data-title="Sinusoidă" data-language-autonym="Română" data-language-local-name="Rumania" 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%A1%D0%B8%D0%BD%D1%83%D1%81%D0%BE%D0%B8%D0%B4%D0%B0" title="Синусоида – Rusia" lang="ru" hreflang="ru" data-title="Синусоида" data-language-autonym="Русский" data-language-local-name="Rusia" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Sinusoida" title="Sinusoida – Serbo-Kroasia" lang="sh" hreflang="sh" data-title="Sinusoida" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Kroasia" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Sine_wave" title="Sine wave – Simple English" lang="en-simple" hreflang="en-simple" data-title="Sine wave" 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-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Vala_sinusoidale" title="Vala sinusoidale – Albania" lang="sq" hreflang="sq" data-title="Vala sinusoidale" data-language-autonym="Shqip" data-language-local-name="Albania" 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%A1%D0%B8%D0%BD%D1%83%D1%81%D0%BE%D0%B8%D0%B4%D0%B0" title="Синусоида – Serbia" lang="sr" hreflang="sr" data-title="Синусоида" data-language-autonym="Српски / srpski" data-language-local-name="Serbia" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Gelombang_sinus" title="Gelombang sinus – Sunda" lang="su" hreflang="su" data-title="Gelombang sinus" data-language-autonym="Sunda" data-language-local-name="Sunda" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Sinusv%C3%A5g" title="Sinusvåg – Swedia" lang="sv" hreflang="sv" data-title="Sinusvåg" data-language-autonym="Svenska" data-language-local-name="Swedia" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Sin%C3%BCs_dalgas%C4%B1" title="Sinüs dalgası – Turki" lang="tr" hreflang="tr" data-title="Sinüs dalgası" data-language-autonym="Türkçe" data-language-local-name="Turki" 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%A1%D0%B8%D0%BD%D1%83%D1%81%D0%BE%D1%97%D0%B4%D0%B0" title="Синусоїда – Ukraina" lang="uk" hreflang="uk" data-title="Синусоїда" data-language-autonym="Українська" data-language-local-name="Ukraina" 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%AC%DB%8C%D8%A8_%D9%85%D9%88%D8%AC" title="جیب موج – Urdu" lang="ur" hreflang="ur" data-title="جیب موج" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%C3%B3ng_sin" title="Sóng sin – Vietnam" lang="vi" hreflang="vi" data-title="Sóng sin" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnam" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wo mw-list-item"><a href="https://wo.wikipedia.org/wiki/Duusub_sin" title="Duusub sin – Wolof" lang="wo" hreflang="wo" data-title="Duusub sin" data-language-autonym="Wolof" data-language-local-name="Wolof" class="interlanguage-link-target"><span>Wolof</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%AD%A3%E5%BC%A6%E6%9B%B2%E7%B7%9A" title="正弦曲線 – Tionghoa" lang="zh" hreflang="zh" data-title="正弦曲線" data-language-autonym="中文" data-language-local-name="Tionghoa" 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/%E6%AD%A3%E5%BC%A6%E6%B3%A2" title="正弦波 – Kanton" lang="yue" hreflang="yue" data-title="正弦波" data-language-autonym="粵語" data-language-local-name="Kanton" 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/Q207527#sitelinks-wikipedia" title="Sunting pranala interwiki" class="wbc-editpage">Sunting pranala</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav 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href="/w/index.php?title=Istimewa:Buku&bookcmd=book_creator&referer=Gelombang+sinus"><span>Buat buku</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Istimewa:DownloadAsPdf&page=Gelombang_sinus&action=show-download-screen"><span>Unduh versi PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Gelombang_sinus&printable=yes" title="Versi cetak halaman ini [p]" accesskey="p"><span>Versi cetak</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"> Dalam proyek lain </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:Sine_waves" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link 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mw-parser-output" lang="id" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r26333525">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}html.client-js body.skin-minerva .mw-parser-output .mbox-text-span{margin-left:23px!important}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Tambah_referensi plainlinks metadata ambox ambox-content ambox-Refimprove" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/Berkas:2017-fr.wp-orange-source.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/2017-fr.wp-orange-source.svg/40px-2017-fr.wp-orange-source.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/2017-fr.wp-orange-source.svg/60px-2017-fr.wp-orange-source.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a1/2017-fr.wp-orange-source.svg/80px-2017-fr.wp-orange-source.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">Artikel ini <b>membutuhkan rujukan tambahan agar kualitasnya dapat <a href="/wiki/Wikipedia:Pemastian" title="Wikipedia:Pemastian">dipastikan</a></b>.<span class="hide-when-compact"> Mohon bantu kami <a class="external text" href="https://id.wikipedia.org/w/index.php?title=Gelombang_sinus&action=edit">mengembangkan artikel ini</a> dengan cara <a href="/wiki/Wikipedia:Kutip_sumber_tulisan" title="Wikipedia:Kutip sumber tulisan">menambahkan rujukan ke sumber tepercaya</a>. Pernyataan tak bersumber bisa saja dipertentangkan dan dihapus.<br /><small><span class="plainlinks"><i>Cari sumber:</i> <a rel="nofollow" class="external text" href="//google.com/search?as_eq=wikipedia&q=%22Gelombang+sinus%22&num=50">"Gelombang sinus"</a> – <a rel="nofollow" class="external text" href="//google.com/search?q=%22Gelombang+sinus%22&tbm=nws">berita</a> <b>·</b> <a rel="nofollow" class="external text" href="//google.com/search?&q=%22Gelombang+sinus%22+site:news.google.com/newspapers&source=newspapers">surat kabar</a> <b>·</b> <a rel="nofollow" class="external text" href="//google.com/search?tbs=bks:1&q=%22Gelombang+sinus%22">buku</a> <b>·</b> <a rel="nofollow" class="external text" href="//scholar.google.com/scholar?q=%22Gelombang+sinus%22">cendekiawan</a> <b>·</b> <a rel="nofollow" class="external text" href="http://www.jstor.org/action/doBasicSearch?Query=%22Gelombang+sinus%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">Oktober 2020</span>)</i></span></div></td></tr></tbody></table> <p><br /> </p> <dl><dd><i>Untuk kegunaan lain, lihat <a href="/wiki/Sinus_(disambiguasi)" class="mw-disambig" title="Sinus (disambiguasi)">Sinus (disambiguasi)</a>.</i></dd></dl> <style data-mw-deduplicate="TemplateStyles:r18844875">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}</style><div role="note" class="hatnote navigation-not-searchable">"Sinusoid" beralih ke halaman ini. Untuk pembuluh darah, lihat <a href="/wiki/Sinusoid_(pembuluh_darah)" title="Sinusoid (pembuluh darah)">Sinusoid (pembuluh darah)</a>.</div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Berkas:Sine_and_Cosine.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Sine_and_Cosine.svg/400px-Sine_and_Cosine.svg.png" decoding="async" width="400" height="255" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Sine_and_Cosine.svg/600px-Sine_and_Cosine.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Sine_and_Cosine.svg/800px-Sine_and_Cosine.svg.png 2x" data-file-width="512" data-file-height="327" /></a><figcaption>Grafik dari fungsi sinus (merah solid) dan <a href="/wiki/Fungsi_trigonometrik#Kosinus" class="mw-redirect" title="Fungsi trigonometrik">kosinus</a> (titik-titik biru) adalah sinusoid dengan fase yang berbeda</figcaption></figure> <p><b>Gelombang sinus</b> atau <b>sinusoidal</b> adalah <a href="/wiki/Fungsi_matematika" class="mw-redirect" title="Fungsi matematika">fungsi matematika</a> yang berbentuk <a href="/wiki/Osilasi" title="Osilasi">osilasi</a> halus berulang. Fungsi ini sering muncul dalam ilmu <a href="/wiki/Matematika" title="Matematika">matematika</a>, <a href="/wiki/Fisika" title="Fisika">fisika</a>, <a href="/wiki/Pengolahan_isyarat" class="mw-redirect" title="Pengolahan isyarat">pengolahan sinyal</a>, dan <a href="/wiki/Teknik_listrik" title="Teknik listrik">teknik listrik</a>, dan berbagai bidang lain. Bentuk paling sederhana dari fungsi ini terhadap waktu )<i>t</i>) adalah<b>:</b> </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 y(t)=A\cdot \sin(\omega t+\varphi )}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>A</mi> <mo>⋅</mo> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>ω</mi> <mi>t</mi> <mo>+</mo> <mi>φ</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y(t)=A\cdot \sin(\omega t+\varphi )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f94c3f20f454695fbdcc51d9a7cc6b0401b06f21" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.636ex; height:2.843ex;" alt="{\displaystyle y(t)=A\cdot \sin(\omega t+\varphi )}"></span></dd></dl> <p>di mana: </p> <ul><li><i>A</i>, <i><a href="/wiki/Amplitudo" title="Amplitudo">amplitudo</a></i>, adalah puncak simpangan fungsi dari posisi tengahnya,</li> <li><i>ω</i>, <i><a href="/wiki/Frekuensi_sudut" title="Frekuensi sudut">frekuensi sudut</a></i>, menunjukkan berapa banyak gerak bolak-balik yang terjadi dalam satu satuan waktu, dalam <a href="/wiki/Radian" title="Radian">radian</a> per detik,</li> <li><i>φ</i>, <i><a href="/wiki/Fase" class="mw-disambig" title="Fase">fase</a></i>, menunjukkan di mana posisi awal gerakan ketika <i>t</i>=0, <ul><li>Jika fase tidak bernilai nol, seluruh gelombang akan tampak bergeser menurut sumbu X (sumbu waktu) sebesar <i>φ</i>/<i>ω</i> detik. Nilai negatif pada fase menunjukkan jeda, sedang nilai positif menunjukkan gelombang "berangkat lebih awal".</li></ul></li></ul> <p>Gelombang sinus sangat penting dalam bidang fisika karena gelombang ini mempertahankan bentuknya ketika ditambahkan kepada gelombang sinus berfrekuensi sama yang lain walaupun fasenya berbeda. Gelombang ini merupakan satu-satunya fungsi periodik yang memiliki sifat ini. Sifat ini menjadikan gelombang ini bagian penting dalam <a href="/wiki/Analisis_Fourier" title="Analisis Fourier">Analisis Fourier</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Bentuk_Umum">Bentuk Umum</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gelombang_sinus&veaction=edit&section=1" title="Sunting bagian: Bentuk Umum" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Gelombang_sinus&action=edit&section=1" title="Sunting kode sumber bagian: Bentuk Umum"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Secara umum, fungsi ini dapat memiliki: </p> <ul><li>dimensi ruang, <i>x</i> (posisi), dengan frekuensi <i>k</i> (juga disebut <i><a href="/wiki/Bilangan_gelombang" title="Bilangan gelombang">nomor gelombang</a></i>)</li> <li>titik tengah amplitudo tidak bernilai nol, <i>D</i> (disebut <i><a href="/w/index.php?title=Bias_DC&action=edit&redlink=1" class="new" title="Bias DC (halaman belum tersedia)">bias DC</a></i>)</li></ul> <p>dengan rumus: </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 y(x,t)=A\cdot \sin(kx+\omega t-\phi )+D.\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>A</mi> <mo>⋅</mo> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>k</mi> <mi>x</mi> <mo>+</mo> <mi>ω</mi> <mi>t</mi> <mo>−</mo> <mi>ϕ</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mi>D</mi> <mo>.</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y(x,t)=A\cdot \sin(kx+\omega t-\phi )+D.\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6c7a4df9c216a60668d915825b107ab7b552529a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:35.045ex; height:2.843ex;" alt="{\displaystyle y(x,t)=A\cdot \sin(kx+\omega t-\phi )+D.\,}"></span></dd></dl> <p>Nomor gelombang bergantung pada frekuensi sudut dengan rumus: </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 k={\omega \over c}={2\pi f \over c}={2\pi \over \lambda }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>ω</mi> <mi>c</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> <mi>f</mi> </mrow> <mi>c</mi> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> </mrow> <mi>λ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k={\omega \over c}={2\pi f \over c}={2\pi \over \lambda }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1aaa141d8d60bc160ebf6e7be14da23534297111" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:20.728ex; height:5.509ex;" alt="{\displaystyle k={\omega \over c}={2\pi f \over c}={2\pi \over \lambda }}"></span></dd></dl> <p>di mana λ adalah <a href="/wiki/Panjang_gelombang" title="Panjang gelombang">panjang gelombang</a>, <i>f</i> adalah <a href="/wiki/Frekuensi" title="Frekuensi">frekuensi</a>, dan <i>c</i> adalah <a href="/w/index.php?title=Kecepatan_fase&action=edit&redlink=1" class="new" title="Kecepatan fase (halaman belum tersedia)">kecepatan fase</a> </p><p>Persamaan ini menggambarkan gelombang sinus dalam satu dimensi, yaitu persamaan di atas menggambarkan amplitudo gelombang pada posisi <i>x</i> ketika waktu <i>t</i> dalam satu garis saja. Contohnya gelombang pada seutas tali yang digoyang-goyangkan.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Untuk gelombang yang lebih rumit, seperti gelombang air yang terbentuk dari batu yang dilempar kedalam kolam, maka diperlukan rumus yang lebih rumit pula.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Contoh_kejadian">Contoh kejadian</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gelombang_sinus&veaction=edit&section=2" title="Sunting bagian: Contoh kejadian" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Gelombang_sinus&action=edit&section=2" title="Sunting kode sumber bagian: Contoh kejadian"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Berkas:ComplexSinInATimeAxe.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a5/ComplexSinInATimeAxe.gif/400px-ComplexSinInATimeAxe.gif" decoding="async" width="400" height="291" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/a/a5/ComplexSinInATimeAxe.gif 1.5x" data-file-width="550" data-file-height="400" /></a><figcaption>Gelombang kosinus dalam hubungannya dengan lingkaran.</figcaption></figure> <p>Gelombang ini sering muncul sehari-hari, misalnya <a href="/wiki/Gelombang_laut" class="mw-redirect" title="Gelombang laut">gelombang laut</a>, gelombang <a href="/wiki/Suara" class="mw-redirect" title="Suara">suara</a>, dan gelombang <a href="/wiki/Cahaya" title="Cahaya">cahaya</a>. </p><p>Gelombang <a href="/wiki/Kosinus" class="mw-redirect" title="Kosinus">kosinus</a> merupakan gelombang "sinusoid" karena <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(x)=\sin(x+\pi /2),}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>sin</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo>+</mo> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> <mo stretchy="false">)</mo> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cos(x)=\sin(x+\pi /2),}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9cfea19b7f6ed350726b96d1ec21a7c4d75c19e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:22.487ex; height:2.843ex;" alt="{\displaystyle \cos(x)=\sin(x+\pi /2),}"></span> sehingga gelombang kosinus sama seperti gelombang sinus dengan pergeseran fase sebesar n/2. Oleh karena gelombang ini fasenya lebih maju, sering pula dikatakan fungsi kosinus <i>mendahului</i> gelombang sinus, atau gelombang sinus <i>terlambat</i> dari kosinus.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Telinga" title="Telinga">Telinga</a> manusia dapat menangkap gelombang sinus dari udara sebagai suara yang jernih karena hanya memiliki <a href="/wiki/Frekuensi" title="Frekuensi">frekuensi</a> tunggal tanpa <a href="/w/index.php?title=Harmonik&action=edit&redlink=1" class="new" title="Harmonik (halaman belum tersedia)">harmonik</a>; beberapa suara yang mendekati gelombang sinus sempurna adalah <a href="/w/index.php?title=Siulan&action=edit&redlink=1" class="new" title="Siulan (halaman belum tersedia)">siulan</a>, gelas kristal yang dibunyikan dengan menggesekkan ujung jari pada bibir gelas, dan suara yang dihasilkan <a href="/wiki/Garpu_tala" title="Garpu tala">garpu tala</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p><p>Gelombang suara yang terdiri dari beberapa sinyal sinus akan tertangkap telinga sebagai bunyi "berisik" atau memiliki <a href="/w/index.php?title=Harmonik&action=edit&redlink=1" class="new" title="Harmonik (halaman belum tersedia)">harmonik</a> tertentu; dikatakan suara tersebut memiliki "warna" (<a href="/wiki/Timbre" title="Timbre">timbre</a>). </p> <div class="mw-heading mw-heading2"><h2 id="Seri_Fourier">Seri Fourier</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gelombang_sinus&veaction=edit&section=3" title="Sunting bagian: Seri Fourier" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Gelombang_sinus&action=edit&section=3" title="Sunting kode sumber bagian: Seri Fourier"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Berkas:Waveforms.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/langid-400px-Waveforms.svg.png" decoding="async" width="400" height="342" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/langid-600px-Waveforms.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/langid-800px-Waveforms.svg.png 2x" data-file-width="620" data-file-height="530" /></a><figcaption>Gelombang sinus, <a href="/w/index.php?title=Gelombang_kotak&action=edit&redlink=1" class="new" title="Gelombang kotak (halaman belum tersedia)">gelombang kotak</a>, <a href="/w/index.php?title=Gelombang_segitiga&action=edit&redlink=1" class="new" title="Gelombang segitiga (halaman belum tersedia)">gelombang segitiga</a>, dan <a href="/w/index.php?title=Gelombang_gigi_gergaji&action=edit&redlink=1" class="new" title="Gelombang gigi gergaji (halaman belum tersedia)">gelombang gigi gergaji</a></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r18844875"><div role="note" class="hatnote navigation-not-searchable">Artikel utama: <a href="/wiki/Analisis_Fourier" title="Analisis Fourier">Analisis Fourier</a></div> <p>Pada tahun 1822, <a href="/wiki/Joseph_Fourier" class="mw-redirect" title="Joseph Fourier">Joseph Fourier</a>, seorang ahli matematika <a href="/wiki/Prancis" title="Prancis">Prancis</a>, menemukan bahwa gelombang sinusoid dapat digunakan untuk membentuk (paling tidak mendekati) semua gelombang periodik, termasuk <a href="/w/index.php?title=Gelombang_persegi&action=edit&redlink=1" class="new" title="Gelombang persegi (halaman belum tersedia)">gelombang persegi</a>. Fourier menggunakan penemuan ini sebagai alat untuk menganalisis gelombang dan aliran panas. Analisis ini sering digunakan dalam <a href="/wiki/Pengolahan_isyarat" class="mw-redirect" title="Pengolahan isyarat">pengolahan sinyal</a> dan analisis statistik <a href="/w/index.php?title=Seri_waktu&action=edit&redlink=1" class="new" title="Seri waktu (halaman belum tersedia)">seri waktu</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Referensi">Referensi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Gelombang_sinus&veaction=edit&section=4" title="Sunting bagian: Referensi" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Gelombang_sinus&action=edit&section=4" title="Sunting kode sumber bagian: Referensi"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r18833634">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110719092551/http://www.regentsprep.org/Regents/math/algtrig/ATT7/sinusoidal.htm">"Salinan arsip"</a>. 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Diarsipkan dari <a rel="nofollow" class="external text" href="http://www.examstutor.com/physics/resources/studyroom/waves_and_oscillations/oscillations_and_harmonic_oscillations/">versi asli</a> tanggal 2011-10-02<span class="reference-accessdate">. Diakses tanggal <span class="nowrap">2011-07-29</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Salinan+arsip&rft_id=http%3A%2F%2Fwww.examstutor.com%2Fphysics%2Fresources%2Fstudyroom%2Fwaves_and_oscillations%2Foscillations_and_harmonic_oscillations%2F&rfr_id=info%3Asid%2Fid.wikipedia.org%3AGelombang+sinus" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20160319162723/http://www.triggertone.com/term/Sine_Wave">"Salinan arsip"</a>. Diarsipkan dari <a rel="nofollow" class="external text" href="http://www.triggertone.com/term/Sine_Wave">versi asli</a> tanggal 2016-03-19<span class="reference-accessdate">. Diakses tanggal <span class="nowrap">2016-01-08</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Salinan+arsip&rft_id=http%3A%2F%2Fwww.triggertone.com%2Fterm%2FSine_Wave&rfr_id=info%3Asid%2Fid.wikipedia.org%3AGelombang+sinus" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div></div>    </div><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="">Diperoleh dari "<a dir="ltr" href="https://id.wikipedia.org/w/index.php?title=Gelombang_sinus&oldid=23925445">https://id.wikipedia.org/w/index.php?title=Gelombang_sinus&oldid=23925445</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Istimewa:Daftar_kategori" title="Istimewa:Daftar kategori">Kategori</a>: <ul><li><a href="/wiki/Kategori:Trigonometri" title="Kategori:Trigonometri">Trigonometri</a></li><li><a href="/wiki/Kategori:Mekanika_gelombang" title="Kategori:Mekanika gelombang">Mekanika gelombang</a></li><li><a href="/wiki/Kategori:Gelombang" title="Kategori:Gelombang">Gelombang</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Kategori tersembunyi: <ul><li><a href="/wiki/Kategori:Semua_artikel_yang_membutuhkan_referensi_tambahan" title="Kategori:Semua artikel yang membutuhkan referensi tambahan">Semua artikel yang membutuhkan referensi tambahan</a></li><li><a href="/wiki/Kategori:Artikel_yang_membutuhkan_referensi_tambahan_Juli_2023" title="Kategori:Artikel yang membutuhkan referensi tambahan Juli 2023">Artikel yang membutuhkan referensi tambahan Juli 2023</a></li><li><a href="/wiki/Kategori:Missing_redirects" title="Kategori:Missing redirects">Missing redirects</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"> Halaman ini terakhir diubah pada 30 Juli 2023, pukul 01.18.</li> <li id="footer-info-copyright">Teks tersedia di bawah <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">Lisensi Atribusi-BerbagiSerupa Creative Commons</a>; ketentuan tambahan mungkin berlaku. 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