{"id":9419,"date":"2022-01-12T03:04:04","date_gmt":"2022-01-11T21:34:04","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9419"},"modified":"2022-01-12T03:04:52","modified_gmt":"2022-01-11T21:34:52","slug":"what-is-the-value-of-cos-54-degrees","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-value-of-cos-54-degrees\/","title":{"rendered":"What is the Value of Cos 54 Degrees ?"},"content":{"rendered":"

Solution :<\/h2>\n

The value of cos 54 degrees<\/strong> is \\(\\sqrt{10 – 2\\sqrt{5}}\\over 4\\)<\/strong>.<\/strong><\/p>\n

Proof :<\/strong><\/p>\n

We know that value of sin 36 degrees<\/a> is \\(\\sqrt{10 – 2\\sqrt{5}}\\over 4\\).<\/p>\n

Since 54 degree is the complement of 36 degree.<\/p>\n

\\(\\therefore\\) cos 54 = sin(90 – 36) = sin 36 = \\(\\sqrt{10 – 2\\sqrt{5}}\\over 4\\)<\/p>\n

Hence, cos 54 degrees is \\(\\sqrt{10 – 2\\sqrt{5}}\\over 4\\).<\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : The value of cos 54 degrees is \\(\\sqrt{10 – 2\\sqrt{5}}\\over 4\\). Proof : We know that value of sin 36 degrees is \\(\\sqrt{10 – 2\\sqrt{5}}\\over 4\\). Since 54 degree is the complement of 36 degree. \\(\\therefore\\) cos 54 = sin(90 – 36) = sin 36 = \\(\\sqrt{10 – 2\\sqrt{5}}\\over 4\\) Hence, cos 54 …<\/p>\n

What is the Value of Cos 54 Degrees ?<\/span> Read More »<\/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":"\nWhat is the Value of Cos 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-cos-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 Cos 54 Degrees ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The value of cos 54 degrees is (sqrt{10 – 2sqrt{5}}over 4). Proof : We know that value of sin 36 degrees is (sqrt{10 – 2sqrt{5}}over 4). Since 54 degree is the complement of 36 degree. (therefore) cos 54 = sin(90 – 36) = sin 36 = (sqrt{10 – 2sqrt{5}}over 4) Hence, cos 54 … What is the Value of Cos 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-cos-54-degrees\/","og_locale":"en_US","og_type":"article","og_title":"What is the Value of Cos 54 Degrees ? - Mathemerize","og_description":"Solution : The value of cos 54 degrees is (sqrt{10 – 2sqrt{5}}over 4). 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