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<nav aria-label="Conteúdo" 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="Alternar o índice" > <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">Alternar o índice</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">Senoide</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="Ir para um artigo noutra língua. Disponível em 52 línguas" > <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 línguas</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 — árabe" lang="ar" hreflang="ar" data-title="موجة جيبية" data-language-autonym="العربية" data-language-local-name="árabe" 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 — bengalês" lang="bn" hreflang="bn" data-title="সাইন তরঙ্গ" data-language-autonym="বাংলা" data-language-local-name="bengalês" 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 — bósnio" lang="bs" hreflang="bs" data-title="Sinusoida" data-language-autonym="Bosanski" data-language-local-name="bósnio" 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 — catalão" lang="ca" hreflang="ca" data-title="Sinusoide" data-language-autonym="Català" data-language-local-name="catalão" 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 — checo" lang="cs" hreflang="cs" data-title="Sinusoida" data-language-autonym="Čeština" data-language-local-name="checo" 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 — dinamarquês" lang="da" hreflang="da" data-title="Sinusbølge" data-language-autonym="Dansk" data-language-local-name="dinamarquês" 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 — alemão" lang="de" hreflang="de" data-title="Sinusoid" data-language-autonym="Deutsch" data-language-local-name="alemão" 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 — grego" lang="el" hreflang="el" data-title="Ημιτονοειδής καμπύλη" data-language-autonym="Ελληνικά" data-language-local-name="grego" 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 — inglês" lang="en" hreflang="en" data-title="Sine wave" data-language-autonym="English" data-language-local-name="inglês" 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 — espanhol" lang="es" hreflang="es" data-title="Sinusoide" data-language-autonym="Español" data-language-local-name="espanhol" 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 — estónio" lang="et" hreflang="et" data-title="Sinusoid" data-language-autonym="Eesti" data-language-local-name="estónio" 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 — basco" lang="eu" hreflang="eu" data-title="Sinusoide" data-language-autonym="Euskara" data-language-local-name="basco" 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 — persa" lang="fa" hreflang="fa" data-title="موج سینوسی" data-language-autonym="فارسی" data-language-local-name="persa" 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 — finlandês" lang="fi" hreflang="fi" data-title="Siniaalto" data-language-autonym="Suomi" data-language-local-name="finlandês" 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 — francês" lang="fr" hreflang="fr" data-title="Signal sinusoïdal" data-language-autonym="Français" data-language-local-name="francês" 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 — haitiano" lang="ht" hreflang="ht" data-title="Ond sinisoyidal" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haitiano" 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 — arménio" lang="hy" hreflang="hy" data-title="Սինուսոիդ" data-language-autonym="Հայերեն" data-language-local-name="arménio" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Gelombang_sinus" title="Gelombang sinus — indonésio" lang="id" hreflang="id" data-title="Gelombang sinus" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonésio" class="interlanguage-link-target"><span>Bahasa Indonesia</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 — italiano" lang="it" hreflang="it" data-title="Onda sinusoidale" data-language-autonym="Italiano" data-language-local-name="italiano" 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 — japonês" lang="ja" hreflang="ja" data-title="正弦波" data-language-autonym="日本語" data-language-local-name="japonês" 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 — georgiano" lang="ka" hreflang="ka" data-title="სინუსოიდალური ტალღა" data-language-autonym="ქართული" data-language-local-name="georgiano" 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 — coreano" lang="ko" hreflang="ko" data-title="사인파" data-language-autonym="한국어" data-language-local-name="coreano" 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 — lezghiano" lang="lez" hreflang="lez" data-title="Синусоида" data-language-autonym="Лезги" data-language-local-name="lezghiano" 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 — lituano" lang="lt" hreflang="lt" data-title="Sinusoidė" data-language-autonym="Lietuvių" data-language-local-name="lituano" 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 — mocsa" lang="mdf" hreflang="mdf" data-title="Синусоидась" data-language-autonym="Мокшень" data-language-local-name="mocsa" 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 — macedónio" lang="mk" hreflang="mk" data-title="Синусен бран" data-language-autonym="Македонски" data-language-local-name="macedónio" 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 — malaio" lang="ms" hreflang="ms" data-title="Gelombang sinus" data-language-autonym="Bahasa Melayu" data-language-local-name="malaio" 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 — neerlandês" lang="nl" hreflang="nl" data-title="Sinusoïde" data-language-autonym="Nederlands" data-language-local-name="neerlandês" 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 — norueguês nynorsk" lang="nn" hreflang="nn" data-title="Sinuskurve" data-language-autonym="Norsk nynorsk" data-language-local-name="norueguês nynorsk" 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 — norueguês bokmål" lang="nb" hreflang="nb" data-title="Sinuskurve" data-language-autonym="Norsk bokmål" data-language-local-name="norueguês bokmål" 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 — panjabi" lang="pa" hreflang="pa" data-title="ਸਾਈਨ ਵੇਵ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panjabi" 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 — polaco" lang="pl" hreflang="pl" data-title="Fala sinusoidalna" data-language-autonym="Polski" data-language-local-name="polaco" 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-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Sinusoid%C4%83" title="Sinusoidă — romeno" lang="ro" hreflang="ro" data-title="Sinusoidă" data-language-autonym="Română" data-language-local-name="romeno" 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 — russo" lang="ru" hreflang="ru" data-title="Синусоида" data-language-autonym="Русский" data-language-local-name="russo" 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 — servo-croata" lang="sh" hreflang="sh" data-title="Sinusoida" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="servo-croata" 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 — albanês" lang="sq" hreflang="sq" data-title="Vala sinusoidale" data-language-autonym="Shqip" data-language-local-name="albanês" 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 — sérvio" lang="sr" hreflang="sr" data-title="Синусоида" data-language-autonym="Српски / srpski" data-language-local-name="sérvio" 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 — sundanês" lang="su" hreflang="su" data-title="Gelombang sinus" data-language-autonym="Sunda" data-language-local-name="sundanês" 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 — sueco" lang="sv" hreflang="sv" data-title="Sinusvåg" data-language-autonym="Svenska" data-language-local-name="sueco" 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 — turco" lang="tr" hreflang="tr" data-title="Sinüs dalgası" data-language-autonym="Türkçe" data-language-local-name="turco" 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 — ucraniano" lang="uk" hreflang="uk" data-title="Синусоїда" data-language-autonym="Українська" data-language-local-name="ucraniano" 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 — vietnamita" lang="vi" hreflang="vi" data-title="Sóng sin" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" 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 — uólofe" lang="wo" hreflang="wo" data-title="Duusub sin" data-language-autonym="Wolof" data-language-local-name="uólofe" 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 — chinês" lang="zh" hreflang="zh" data-title="正弦曲線" data-language-autonym="中文" data-language-local-name="chinês" 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 — cantonês" lang="yue" hreflang="yue" data-title="正弦波" data-language-autonym="粵語" data-language-local-name="cantonês" 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="Editar hiperligações interlínguas" class="wbc-editpage">Editar hiperligações</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espaços nominais"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Senoide" title="Ver a página de conteúdo [c]" accesskey="c"><span>Artigo</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Discuss%C3%A3o:Senoide" rel="discussion" title="Discussão sobre o conteúdo da página [t]" accesskey="t"><span>Discussão</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" 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class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Senoide&veaction=edit" title="Editar esta página [v]" accesskey="v"><span>Editar</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Senoide&action=edit" title="Editar o código-fonte desta página [e]" accesskey="e"><span>Editar código-fonte</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Senoide&action=history" title="Edições anteriores desta página. [h]" accesskey="h"><span>Ver histórico</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Ferramentas de página"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Ferramentas" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Ferramentas</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Ferramentas</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mover para a barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ocultar</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Mais opções" > <div class="vector-menu-heading"> Operações </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Senoide"><span>Ler</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Senoide&veaction=edit" title="Editar esta página [v]" accesskey="v"><span>Editar</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Senoide&action=edit" title="Editar o código-fonte desta página [e]" accesskey="e"><span>Editar código-fonte</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Senoide&action=history"><span>Ver histórico</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Geral </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Especial:P%C3%A1ginas_afluentes/Senoide" title="Lista de todas as páginas que contêm hiperligações para esta [j]" accesskey="j"><span>Páginas afluentes</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Especial:Altera%C3%A7%C3%B5es_relacionadas/Senoide" rel="nofollow" title="Mudanças recentes nas páginas para as quais esta contém hiperligações [k]" accesskey="k"><span>Alterações relacionadas</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedia:Carregar_ficheiro" title="Carregar ficheiros [u]" accesskey="u"><span>Carregar ficheiro</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Especial:P%C3%A1ginas_especiais" title="Lista de páginas especiais [q]" accesskey="q"><span>Páginas especiais</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Senoide&oldid=67550050" title="Hiperligação permanente para esta revisão desta página"><span>Hiperligação permanente</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Senoide&action=info" title="Mais informações sobre esta página"><span>Informações da página</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Especial:Citar&page=Senoide&id=67550050&wpFormIdentifier=titleform" title="Informação sobre como citar esta página"><span>Citar esta página</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Especial:UrlShortener&url=https%3A%2F%2Fpt.wikipedia.org%2Fwiki%2FSenoide"><span>Obter URL encurtado</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Especial:QrCode&url=https%3A%2F%2Fpt.wikipedia.org%2Fwiki%2FSenoide"><span>Descarregar código QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Imprimir/exportar </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Especial:Livro&bookcmd=book_creator&referer=Senoide"><span>Criar um livro</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Especial:DownloadAsPdf&page=Senoide&action=show-download-screen"><span>Descarregar como PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Senoide&printable=yes" title="Versão para impressão desta página [p]" accesskey="p"><span>Versão para impressão</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"> Noutros projetos </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 wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q207527" title="Hiperligação para o elemento do repositório de dados [g]" accesskey="g"><span>Elemento Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Ferramentas de página"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aspeto"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Aspeto</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mover para a barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">ocultar</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Origem: Wikipédia, a enciclopédia livre.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" 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.tmbox.mbox-small{clear:right;float:right;margin:4px 0 4px 1em;width:238px}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .tmbox{background-color:#2e2505}html.skin-theme-clientpref-night .mw-parser-output .tmbox-speedy{background-color:#310402}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .tmbox{background-color:#2e2505}html.skin-theme-clientpref-os .mw-parser-output .tmbox-speedy{background-color:#310402}}body.skin--responsive .mw-parser-output table.tmbox img{max-width:none!important}</style><table class="box-Sem_notas plainlinks metadata ambox ambox-content ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><div style="width:52px"><span typeof="mw:File"><a href="/wiki/Wikip%C3%A9dia:Livro_de_estilo/Cite_as_fontes" title="Wikipédia:Livro de estilo/Cite as fontes"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Text_document_with_red_question_mark.svg/40px-Text_document_with_red_question_mark.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Text_document_with_red_question_mark.svg/60px-Text_document_with_red_question_mark.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a4/Text_document_with_red_question_mark.svg/80px-Text_document_with_red_question_mark.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">Este artigo ou secção contém <a href="/wiki/Wikip%C3%A9dia:Livro_de_estilo/Cite_as_fontes#Referências_no_fim" title="Wikipédia:Livro de estilo/Cite as fontes">uma lista de referências no fim do texto</a>, mas as suas fontes não são claras porque <b>não são <a href="/wiki/Wikip%C3%A9dia:Livro_de_estilo/Cite_as_fontes#Referências_no_texto" title="Wikipédia:Livro de estilo/Cite as fontes">citadas no corpo do artigo</a></b>, o que <b>compromete a <a href="/wiki/Wikip%C3%A9dia:V" class="mw-redirect" title="Wikipédia:V">confiabilidade</a></b> das informações.<span class="hide-when-compact"> Ajude a <span class="plainlinks"><a class="external text" href="https://pt.wikipedia.org/w/index.php?title=Senoide&action=edit">melhorar</a></span> este artigo <a href="/wiki/Wikip%C3%A9dia:Livro_de_estilo/Refer%C3%AAncias_e_notas_de_rodap%C3%A9" title="Wikipédia:Livro de estilo/Referências e notas de rodapé">inserindo citações no corpo do artigo</a>.</span> <small class="date-container"><i>(<span class="date">Setembro de 2019</span>)</i></small></div></td></tr></tbody></table> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Sine_Cosine_Graph.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/13/Sine_Cosine_Graph.png/275px-Sine_Cosine_Graph.png" decoding="async" width="275" height="223" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/13/Sine_Cosine_Graph.png/413px-Sine_Cosine_Graph.png 1.5x, //upload.wikimedia.org/wikipedia/commons/1/13/Sine_Cosine_Graph.png 2x" data-file-width="516" data-file-height="418" /></a><figcaption>Gráfico de uma onda senoidal</figcaption></figure> <p>Um <span class="no-conversion"><b><span lang="pt-br">senoide</span></b> <sup>(<a href="/wiki/Portugu%C3%AAs_brasileiro" title="Português brasileiro">português brasileiro</a>)</sup> ou <b><span lang="pt-pt">sinusoide</span></b> <sup>(<a href="/wiki/Portugu%C3%AAs_europeu" title="Português europeu">português europeu</a>)</sup></span> - também chamado de <b>onda seno</b>, <b>onda senoidal</b>, ou <b>onda sinusoidal</b> - é uma curva matemática que descreve uma oscilação repetitiva suave, sendo esta uma onda contínua. É nomeada em homenagem à função seno, apresentada no gráfico. Ocorre frequentemente em matemática pura e aplicada, bem como física, engenharia, processamento de sinais e em muitos outros campos. A sua forma mais básica como função do tempo (t) é: </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y(t)=Aseno(2\pi ft+\varphi )=Aseno(\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> <mi>s</mi> <mi>e</mi> <mi>n</mi> <mi>o</mi> <mo stretchy="false">(</mo> <mn>2</mn> <mi>π</mi> <mi>f</mi> <mi>t</mi> <mo>+</mo> <mi>φ</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>A</mi> <mi>s</mi> <mi>e</mi> <mi>n</mi> <mi>o</mi> <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)=Aseno(2\pi ft+\varphi )=Aseno(\omega t+\varphi )}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ae953b03cc251fcab698fd82c0bebd9cb429eb1" class="mwe-math-fallback-image-display mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:42.118ex; height:2.843ex;" alt="{\displaystyle y(t)=Aseno(2\pi ft+\varphi )=Aseno(\omega t+\varphi )}"></span> Onde: </p> <ul><li>A = a amplitude, o desvio de pico da função de zero.</li> <li><i>f</i> = a frequência normal, o número de oscilações (ciclos) que ocorrem cada segundo de tempo.</li> <li><i>ω</i> = 2πf, a <a href="/wiki/Frequ%C3%AAncia_angular" title="Frequência angular">frequência angular</a>, a taxa de mudança do argumento da função em unidades de radianos por segundo.</li> <li><i>φ</i> = a fase, especifica (em radianos) onde em seu ciclo a oscilação está em t = 0. <ul><li>Quando <i>φ</i>  é diferente de zero, toda a forma de onda parece ser deslocada no tempo pela quantidade <i>φ</i> / ω segundos. Um valor negativo representa um atraso, e um valor positivo representa um adiantamento.</li></ul></li></ul> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Forma_Geral">Forma Geral</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Senoide&veaction=edit&section=1" title="Editar secção: Forma Geral" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Senoide&action=edit&section=1" title="Editar código-fonte da secção: Forma Geral"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Em geral, a função também pode ter: </p><p>Uma variável espacial x que representa a posição na dimensão em que a onda se propaga e um parâmetro característico k chamado <a href="/wiki/N%C3%BAmero_de_onda" title="Número de onda">número de onda</a> (ou número de onda angular), que representa a proporcionalidade entre a freqüência angular ω e a velocidade linear (velocidade de propagação) Ν </p><p>Uma amplitude central não-zero, D </p><p><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)=Aseno(kx-\omega t+\varphi )+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> <mi>s</mi> <mi>e</mi> <mi>n</mi> <mi>o</mi> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y(x,t)=Aseno(kx-\omega t+\varphi )+D}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3ab17b37e246c01b547e9505bc229f15831f108e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:34.307ex; height:2.843ex;" alt="{\displaystyle y(x,t)=Aseno(kx-\omega t+\varphi )+D}"></span>, Se a onda está se movendo para a direita ou esquerda. </p><p>O número da onda é relacionado à frequência angular por </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-display mwe-math-mathml-a11y" style="display: none;"><math display="block" 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-display 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> </p><p>Onde: </p> <ul><li>λ é o <a href="/wiki/Comprimento_de_onda" title="Comprimento de onda">comprimento de onda</a></li> <li><i>f</i> é a <a href="/wiki/Frequ%C3%AAncia" title="Frequência">frequência</a></li> <li><i>c</i> é a <a href="/wiki/Velocidade_de_fase" title="Velocidade de fase">velocidade de propagação</a>.</li></ul> <p>Esta equação dá uma onda senoidal para uma única dimensão; Assim, a equação generalizada dada acima dá o deslocamento da onda em uma posição x no tempo t ao longo de uma única linha. Isso poderia, por exemplo, ser considerado o valor de uma onda ao longo de um fio. </p><p>Em duas ou três dimensões espaciais, a mesma equação descreve uma onda plana itinerante se a posição x eo número de onda k forem interpretados como vetores e seu produto como produto ponto. Para ondas mais complexas, como a altura de uma onda de água em uma lagoa depois de uma pedra ter sido descartada, são necessárias equações mais complexas </p><p>A imagem desta <a href="/wiki/Onda" title="Onda">onda</a> ocorre naturalmente na <a href="/wiki/Natureza" title="Natureza">natureza</a>, como podemos observar nas <a href="/wiki/Ondas_oce%C3%A2nicas_de_superf%C3%ADcie" class="mw-redirect" title="Ondas oceânicas de superfície">ondas do mar</a>, do <a href="/wiki/Som" title="Som">som</a> e da <a href="/wiki/Luz" title="Luz">luz</a>. </p><p>Uma onda <a href="/wiki/Cosseno" title="Cosseno">cosseno</a> também é considerada <a href="/wiki/Sinusoidal" class="mw-redirect" title="Sinusoidal">sinusoidal</a>, visto que ela possui o mesmo formato porém está defasada com relação à onda seno no eixo horizontal: <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 \left(x-{\frac {\pi }{2}}\right)=\mathrm {sen} \,{x}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>cos</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mrow> <mi>x</mi> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>π</mi> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">n</mi> </mrow> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \cos \left(x-{\frac {\pi }{2}}\right)=\mathrm {sen} \,{x}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4232fd94e289dff51a2dbf10d10f6116665f6e7e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:20.281ex; height:4.843ex;" alt="{\displaystyle \cos \left(x-{\frac {\pi }{2}}\right)=\mathrm {sen} \,{x}}"></span> </p><p>O <a href="/wiki/Ouvido" class="mw-redirect" title="Ouvido">ouvido</a> humano pode reconhecer ondas seno simples pois elas soam "limpas" e "claras" para nós, alguns sons que se assemelham a uma onda seno são o som do <a href="/wiki/Diapas%C3%A3o" title="Diapasão">diapasão</a> e a vibração de um copo de <a href="/wiki/Cristal" title="Cristal">cristal</a> ao se passar um dedo molhado sobre seu gargalo. </p><p>Para o ouvido humano, um som que é constituído por mais de uma onda seno terá uma aparência "barulhenta" ou possuirá <a href="/wiki/Harm%C3%B4nica" title="Harmônica">harmônicas</a> detectáveis. </p> <div class="mw-heading mw-heading2"><h2 id="Ocorrências"><span id="Ocorr.C3.AAncias"></span>Ocorrências</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Senoide&veaction=edit&section=2" title="Editar secção: Ocorrências" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Senoide&action=edit&section=2" title="Editar código-fonte da secção: Ocorrências"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ilustrando a relação fundamental da onda de cosseno com o círculo. </p><p>Este padrão de onda ocorre frequentemente na natureza, incluindo ondas de vento, ondas sonoras e ondas de luz. </p><p>Uma onda de cosseno é dita como "sinusoidal", porque <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)=seno(x+\pi /2)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>s</mi> <mi>e</mi> <mi>n</mi> <mi>o</mi> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle cos(x)=seno(x+\pi /2)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c89a518ce96d3b0598593da8fd1177b0fcaf330b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.795ex; height:2.843ex;" alt="{\displaystyle cos(x)=seno(x+\pi /2)}"></span>, que é também uma onda senoidal com um deslocamento de fase de π / 2 radianos. Por causa deste "início", muitas vezes é dito que a função cosseno conduz a função seno ou o seno desacelera o cosseno. </p><p>O ouvido humano pode reconhecer as únicas ondas de seno como um som claro porque as ondas de seno são representações de uma única frequência sem harmônicos. </p><p>Para o ouvido humano, um som feito de mais de uma onda senoidal terá harmônicos perceptíveis; A adição de diferentes ondas de seno resulta em uma forma de onda diferente e, portanto, muda o timbre do som. Presença de harmônicas superiores, além da variação de causas fundamentais no timbre, razão pela qual a mesma <a href="/wiki/Nota_musical" title="Nota musical">nota musical</a> (a mesma freqüência) tocada em diferentes instrumentos soa diferente. Por outro lado, se o som contiver ondas aperiódicas junto com as ondas de seno (que são periódicas), o som será percebido como "ruidoso", pois o ruído é caracterizado como aperiódico ou com padrão não repetitivo. </p> <div class="mw-heading mw-heading2"><h2 id="Séries_de_Fourier"><span id="S.C3.A9ries_de_Fourier"></span>Séries de Fourier</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Senoide&veaction=edit&section=3" title="Editar secção: Séries de Fourier" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Senoide&action=edit&section=3" title="Editar código-fonte da secção: Séries de Fourier"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:Waveforms.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/300px-Waveforms.svg.png" decoding="async" width="300" height="256" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/450px-Waveforms.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/77/Waveforms.svg/600px-Waveforms.svg.png 2x" data-file-width="620" data-file-height="530" /></a><figcaption>Seno, ondas quadradas, ondas triangulares, onda dentada.</figcaption></figure> <p>Em 1822, o matemático francês <a href="/wiki/Joseph_Fourier" class="mw-redirect" title="Joseph Fourier">Joseph Fourier</a> descobriu que ondas sinodais podem ser usadas como blocos para construir, ou descrever, qualquer tipo de onda periódica, incluindo ondas quadradas. Fourier usou isso como ferramenta analítica no estudo das ondas e dos fluxos de calor. Séries de Fourier são usadas freqüentemente em <a href="/wiki/Processamento_de_sinais" class="mw-redirect" title="Processamento de sinais">processamento de sinais</a> e análise estatística de <a href="/wiki/S%C3%A9ries_temporais" class="mw-redirect" title="Séries temporais">séries temporais</a>. </p><p>Qualquer <a href="/wiki/Forma_de_onda" title="Forma de onda">forma de onda</a> não-sinusoidal, tais como as <a href="/wiki/Onda_quadrada" title="Onda quadrada">ondas quadradas</a>, ou mesmo os sons irregulares produzidos pela <a href="/wiki/Fala" title="Fala">fala</a> humana, são um conjunto de ondas sinusoidais de diferentes <a href="/wiki/Per%C3%ADodo" class="mw-disambig" title="Período">períodos</a> e <a href="/wiki/Frequ%C3%AAncias" class="mw-redirect" title="Frequências">frequências</a> juntas. A técnica para se transformar uma forma de onda complexa em suas componentes sinusoidais é chamada de <a href="/wiki/Transformada_de_Fourier" title="Transformada de Fourier">transformada de Fourier</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Ver_também"><span id="Ver_tamb.C3.A9m"></span>Ver também</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Senoide&veaction=edit&section=4" title="Editar secção: Ver também" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Senoide&action=edit&section=4" title="Editar código-fonte da secção: Ver também"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Equa%C3%A7%C3%A3o_da_onda" class="mw-redirect" title="Equação da onda">Equação da onda</a></li> <li><a href="/wiki/Equa%C3%A7%C3%A3o_de_Helmholtz" title="Equação de Helmholtz">Equação de Helmholtz</a></li> <li><a href="/wiki/Transformada_de_Fourier" title="Transformada de Fourier">Transformada de Fourier</a></li> <li><a href="/wiki/S%C3%A9rie_harm%C3%B4nica_(m%C3%BAsica)" title="Série harmônica (música)">Série harmônica</a></li> <li><a href="/w/index.php?title=Tom_puro&action=edit&redlink=1" class="new" title="Tom puro (página não existe)">Tom puro</a></li> <li><a href="/w/index.php?title=Pseudo_onda_seno&action=edit&redlink=1" class="new" title="Pseudo onda seno (página não existe)">Pseudo onda seno</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referências"><span id="Refer.C3.AAncias"></span>Referências</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Senoide&veaction=edit&section=5" title="Editar secção: Referências" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Senoide&action=edit&section=5" title="Editar código-fonte da secção: Referências"><span>editar código-fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://matematicaemusica.pbworks.com/w/page/20503556/Sen%C3%B3ide">Matemática da música</a></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Obtida de "<a dir="ltr" href="https://pt.wikipedia.org/w/index.php?title=Senoide&oldid=67550050">https://pt.wikipedia.org/w/index.php?title=Senoide&oldid=67550050</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Especial:Categorias" title="Especial:Categorias">Categorias</a>: <ul><li><a href="/wiki/Categoria:Trigonometria" title="Categoria:Trigonometria">Trigonometria</a></li><li><a href="/wiki/Categoria:Formas_de_onda" title="Categoria:Formas de onda">Formas de onda</a></li><li><a href="/wiki/Categoria:Mec%C3%A2nica_ondulat%C3%B3ria" title="Categoria:Mecânica ondulatória">Mecânica ondulatória</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Categorias ocultas: <ul><li><a href="/wiki/Categoria:!Artigos_que_carecem_de_notas_de_rodap%C3%A9_desde_setembro_de_2019" title="Categoria:!Artigos que carecem de notas de rodapé desde setembro de 2019">!Artigos que carecem de notas de rodapé desde setembro de 2019</a></li><li><a href="/wiki/Categoria:!Artigos_que_carecem_de_notas_de_rodap%C3%A9_sem_indica%C3%A7%C3%A3o_de_tema" title="Categoria:!Artigos que carecem de notas de rodapé sem indicação de tema">!Artigos que carecem de notas de rodapé sem indicação de tema</a></li><li><a href="/wiki/Categoria:Palavras_que_diferem_em_vers%C3%B5es_da_l%C3%ADngua_portuguesa" title="Categoria:Palavras que diferem em versões da língua portuguesa">Palavras que diferem em versões da língua portuguesa</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"> Esta página foi editada pela última vez às 01h44min de 28 de fevereiro de 2024.</li> <li id="footer-info-copyright">Este texto é disponibilizado nos termos da licença <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.pt">Atribuição-CompartilhaIgual 4.0 Internacional (CC BY-SA 4.0) da Creative Commons</a>; pode estar sujeito a condições adicionais. 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