{"id":9232,"date":"2022-01-03T19:04:59","date_gmt":"2022-01-03T13:34:59","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9232"},"modified":"2022-01-03T19:13:45","modified_gmt":"2022-01-03T13:43:45","slug":"find-the-value-of-cos-75-degrees","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/find-the-value-of-cos-75-degrees\/","title":{"rendered":"Find the Value of Cos 75 Degrees ?"},"content":{"rendered":"

Solution :<\/h2>\n

The value of cos 75 degrees<\/strong> is \\(\\sqrt{3} – 1\\over 2\\sqrt{2}\\)<\/strong>.<\/p>\n

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

We will write cos 75 as cos (45 + 30).<\/p>\n

By using formula cos (A + B) = cos A cos B – sin A sin B,<\/p>\n

cos (45 + 30) = cos 45 cos 30 – sin 45 sin 30<\/p>\n

\\(\\implies\\) cos 75 = \\(1\\over \\sqrt{2}\\) \\(\\times\\) \\(\\sqrt{3}\\over 2\\) – \\(1\\over \\sqrt{2}\\) \\(\\times\\) \\(1\\over 2\\)<\/p>\n

\\(\\implies\\) cos 75 = \\(\\sqrt{3} – 1\\over 2\\sqrt{2}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : The value of cos 75 degrees is \\(\\sqrt{3} – 1\\over 2\\sqrt{2}\\). Proof : We will write cos 75 as cos (45 + 30). By using formula cos (A + B) = cos A cos B – sin A sin B, cos (45 + 30) = cos 45 cos 30 – sin 45 sin …<\/p>\n

Find the Value of Cos 75 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":"\nFind the Value of Cos 75 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\/find-the-value-of-cos-75-degrees\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Find the Value of Cos 75 Degrees ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The value of cos 75 degrees is (sqrt{3} – 1over 2sqrt{2}). 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