{"id":8531,"date":"2021-11-23T20:34:23","date_gmt":"2021-11-23T15:04:23","guid":{"rendered":"https:\/\/mathemerize.com\/?p=8531"},"modified":"2021-11-23T20:42:35","modified_gmt":"2021-11-23T15:12:35","slug":"what-is-the-parametric-equation-of-ellipse","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/","title":{"rendered":"What is the parametric equation of ellipse ?"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>The equation x = acos\\(\\theta\\) &amp; y = bsin\\(\\theta\\) together represent the parametric equation of ellipse \\({x_1}^2\\over a^2\\) + \\({y_1}^2\\over b^2\\) = 1, where \\(\\theta\\) is a parameter.<\/p>\n<p>Note that if P(\\(\\theta\\)) = (acos\\(\\theta\\), bsin\\(\\theta\\)) is on the ellipse then ; Q(\\(\\theta\\)) = (acos\\(\\theta\\), bsin\\(\\theta\\)) is on auxilliary circle.<\/p>\n<p>A circle described on major axis as diameter is called auxilliary circle.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : The equation x = acos\\(\\theta\\) &amp; y = bsin\\(\\theta\\) together represent the parametric equation of ellipse \\({x_1}^2\\over a^2\\) + \\({y_1}^2\\over b^2\\) = 1, where \\(\\theta\\) is a parameter. Note that if P(\\(\\theta\\)) = (acos\\(\\theta\\), bsin\\(\\theta\\)) is on the ellipse then ; Q(\\(\\theta\\)) = (acos\\(\\theta\\), bsin\\(\\theta\\)) is on auxilliary circle. A circle described on &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/\"> <span class=\"screen-reader-text\">What is the parametric equation of ellipse ?<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[49,43],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the parametric equation of ellipse ? - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the parametric equation of ellipse ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The equation x = acos(theta) &amp; y = bsin(theta) together represent the parametric equation of ellipse ({x_1}^2over a^2) + ({y_1}^2over b^2) = 1, where (theta) is a parameter. Note that if P((theta)) = (acos(theta), bsin(theta)) is on the ellipse then ; Q((theta)) = (acos(theta), bsin(theta)) is on auxilliary circle. A circle described on &hellip; What is the parametric equation of ellipse ? 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- Mathemerize","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/","og_locale":"en_US","og_type":"article","og_title":"What is the parametric equation of ellipse ? - Mathemerize","og_description":"Solution : The equation x = acos(theta) &amp; y = bsin(theta) together represent the parametric equation of ellipse ({x_1}^2over a^2) + ({y_1}^2over b^2) = 1, where (theta) is a parameter. Note that if P((theta)) = (acos(theta), bsin(theta)) is on the ellipse then ; Q((theta)) = (acos(theta), bsin(theta)) is on auxilliary circle. A circle described on &hellip; What is the parametric equation of ellipse ? Read More &raquo;","og_url":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/","og_site_name":"Mathemerize","article_published_time":"2021-11-23T15:04:23+00:00","article_modified_time":"2021-11-23T15:12:35+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"What is the parametric equation of ellipse ?","datePublished":"2021-11-23T15:04:23+00:00","dateModified":"2021-11-23T15:12:35+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/"},"wordCount":71,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Ellipse Questions","Maths Questions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/","url":"https:\/\/mathemerize.com\/what-is-the-parametric-equation-of-ellipse\/","name":"What is the parametric equation of ellipse ? 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