{"id":9415,"date":"2022-01-12T03:00:24","date_gmt":"2022-01-11T21:30:24","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9415"},"modified":"2022-01-12T03:04:34","modified_gmt":"2022-01-11T21:34:34","slug":"what-is-the-value-of-sin-54-degrees","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/","title":{"rendered":"What is the Value of Sin 54 Degrees ?"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>The value of <strong>sin 54 degrees<\/strong> is <strong>\\(\\sqrt{5} + 1\\over 4\\).<\/strong><\/p>\n<p><strong>Proof :<\/strong><\/p>\n<p>We know that value of <a href=\"https:\/\/mathemerize.com\/what-is-the-value-of-cos-36-degrees\/\">cos 36 degrees<\/a> is \\(\\sqrt{5} + 1\\over 4\\).<\/p>\n<p>Since 54 degree is the complement of 36 degree.<\/p>\n<p>\\(\\therefore\\) sin 54 = sin(90 &#8211; 36) = cos 36 = \\(\\sqrt{5} + 1\\over 4\\)<\/p>\n<p>Hence, sin 54 degrees is \\(\\sqrt{5} + 1\\over 4\\).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : The value of sin 54 degrees is \\(\\sqrt{5} + 1\\over 4\\). Proof : We know that value of cos 36 degrees is \\(\\sqrt{5} + 1\\over 4\\). Since 54 degree is the complement of 36 degree. \\(\\therefore\\) sin 54 = sin(90 &#8211; 36) = cos 36 = \\(\\sqrt{5} + 1\\over 4\\) Hence, sin 54 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/\"> <span class=\"screen-reader-text\">What is the Value of Sin 54 Degrees ?<\/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":[43,60],"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 Value of Sin 54 Degrees ? - 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-value-of-sin-54-degrees\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the Value of Sin 54 Degrees ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The value of sin 54 degrees is (sqrt{5} + 1over 4). Proof : We know that value of cos 36 degrees is (sqrt{5} + 1over 4). Since 54 degree is the complement of 36 degree. (therefore) sin 54 = sin(90 &#8211; 36) = cos 36 = (sqrt{5} + 1over 4) Hence, sin 54 &hellip; What is the Value of Sin 54 Degrees ? Read More &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2022-01-11T21:30:24+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-01-11T21:34:34+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"What is the Value of Sin 54 Degrees ?\",\"datePublished\":\"2022-01-11T21:30:24+00:00\",\"dateModified\":\"2022-01-11T21:34:34+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/\"},\"wordCount\":47,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"articleSection\":[\"Maths Questions\",\"Trigonometry Questions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/\",\"url\":\"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/\",\"name\":\"What is the Value of Sin 54 Degrees ? 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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-value-of-sin-54-degrees\/","og_locale":"en_US","og_type":"article","og_title":"What is the Value of Sin 54 Degrees ? - Mathemerize","og_description":"Solution : The value of sin 54 degrees is (sqrt{5} + 1over 4). Proof : We know that value of cos 36 degrees is (sqrt{5} + 1over 4). Since 54 degree is the complement of 36 degree. (therefore) sin 54 = sin(90 &#8211; 36) = cos 36 = (sqrt{5} + 1over 4) Hence, sin 54 &hellip; What is the Value of Sin 54 Degrees ? Read More &raquo;","og_url":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/","og_site_name":"Mathemerize","article_published_time":"2022-01-11T21:30:24+00:00","article_modified_time":"2022-01-11T21:34:34+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-value-of-sin-54-degrees\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"What is the Value of Sin 54 Degrees ?","datePublished":"2022-01-11T21:30:24+00:00","dateModified":"2022-01-11T21:34:34+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/"},"wordCount":47,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Maths Questions","Trigonometry Questions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/","url":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/","name":"What is the Value of Sin 54 Degrees ? - Mathemerize","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2022-01-11T21:30:24+00:00","dateModified":"2022-01-11T21:34:34+00:00","breadcrumb":{"@id":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/what-is-the-value-of-sin-54-degrees\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"What is the Value of Sin 54 Degrees ?"}]},{"@type":"WebSite","@id":"https:\/\/mathemerize.com\/#website","url":"https:\/\/mathemerize.com\/","name":"Mathemerize","description":"Maths Tutorials - Study Math Online","publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathemerize.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mathemerize.com\/#organization","name":"Mathemerize","url":"https:\/\/mathemerize.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/","url":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","contentUrl":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","width":140,"height":96,"caption":"Mathemerize"},"image":{"@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.instagram.com\/mathemerize\/"]},{"@type":"Person","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df","name":"mathemerize","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","caption":"mathemerize"},"sameAs":["https:\/\/mathemerize.com"],"url":"https:\/\/mathemerize.com\/author\/mathemerize\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/9415"}],"collection":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/comments?post=9415"}],"version-history":[{"count":2,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/9415\/revisions"}],"predecessor-version":[{"id":9420,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/9415\/revisions\/9420"}],"wp:attachment":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/media?parent=9415"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/categories?post=9415"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/tags?post=9415"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}