{"id":6890,"date":"2021-10-21T22:06:32","date_gmt":"2021-10-21T16:36:32","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6890"},"modified":"2021-10-25T09:56:39","modified_gmt":"2021-10-25T04:26:39","slug":"solve-6-10cosx-3sin2x","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/solve-6-10cosx-3sin2x\/","title":{"rendered":"Solve : 6 – 10cosx = 3\\(sin^2x\\)"},"content":{"rendered":"

Solution :<\/h2>\n

we have, 6 – 10cosx = 3\\(sin^2x\\)<\/p>\n

\\(\\therefore\\)\u00a0 6 – 10cosx = 3 – 3\\(cos^2x\\)<\/p>\n

\\(\\implies\\)\u00a0 3\\(cos^2x\\) – 10cosx + 3 = 0<\/p>\n

\\(\\implies\\)\u00a0 (3cosx-1)(cosx-3) = 0\u00a0 \\(\\implies\\)\u00a0 cosx = \\(1\\over 3\\) or cosx = 3<\/p>\n

Since cosx = 3 is not possible as -1 \\(\\le\\) cosx \\(\\le\\) 1<\/p>\n

\\(\\therefore\\)\u00a0 cosx = \\(1\\over 3\\) = cos(\\(cos^{-1}{1\\over 3}\\))\u00a0 \\(\\implies\\)\u00a0 x = 2n\\(\\pi\\) \\(\\pm\\) \\(cos^{-1}{1\\over 3}\\)<\/p>\n

\n

Similar Questions<\/h3>\n

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Solution : we have, 6 – 10cosx = 3\\(sin^2x\\) \\(\\therefore\\)\u00a0 6 – 10cosx = 3 – 3\\(cos^2x\\) \\(\\implies\\)\u00a0 3\\(cos^2x\\) – 10cosx + 3 = 0 \\(\\implies\\)\u00a0 (3cosx-1)(cosx-3) = 0\u00a0 \\(\\implies\\)\u00a0 cosx = \\(1\\over 3\\) or cosx = 3 Since cosx = 3 is not possible as -1 \\(\\le\\) cosx \\(\\le\\) 1 \\(\\therefore\\)\u00a0 cosx = \\(1\\over …<\/p>\n

Solve : 6 – 10cosx = 3\\(sin^2x\\)<\/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":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,59],"tags":[],"yoast_head":"\nSolve : 6 - 10cosx = 3\\(sin^2x\\)<\/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\/solve-6-10cosx-3sin2x\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Solve : 6 - 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