{"id":9437,"date":"2022-01-13T22:57:41","date_gmt":"2022-01-13T17:27:41","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9437"},"modified":"2022-01-13T22:57:45","modified_gmt":"2022-01-13T17:27:45","slug":"what-is-the-general-solution-of-cos-theta-0","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-the-general-solution-of-cos-theta-0\/","title":{"rendered":"What is the General Solution of \\(Cos \\theta\\) = 0 ?"},"content":{"rendered":"

Solution :<\/h2>\n

The general solution of \\(cos \\theta\\) = 0<\/strong> is given by \\(\\theta\\) = \\((2n + 1){\\pi\\over 2}\\), n \\(\\in\\) Z.<\/strong><\/p>\n

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

We have,\"theta\"<\/p>\n

\\(cos \\theta\\) = \\(PM\\over OP\\)<\/p>\n

\\(\\therefore\\)\u00a0 \u00a0\\(cos \\theta\\) = 0<\/p>\n

\\(\\implies\\)\u00a0 \\(OM\\over OP\\) = 0<\/p>\n

\\(\\implies\\) OM = 0<\/p>\n

\\(\\implies\\)\u00a0 OP coincides with OY or OY’<\/p>\n

\\(\\implies\\)\u00a0 \\(\\theta\\) =\u00a0 \\(\\pm{\\pi\\over 2}\\), \\(\\pm{3\\pi\\over 2}\\), \\(\\pm{5\\pi\\over 2}\\), …….<\/p>\n

\\(\\implies\\) \\(\\theta\\) = \\((2n + 1){\\pi\\over 2}\\),\u00a0 n \\(\\in\\) Z<\/p>\n

Hence, \\(\\theta\\) = \\((2n + 1){\\pi\\over 2}\\),\u00a0 n \\(\\in\\) Z is the general solution of \\(cos \\theta\\) = 0.<\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : The general solution of \\(cos \\theta\\) = 0 is given by \\(\\theta\\) = \\((2n + 1){\\pi\\over 2}\\), n \\(\\in\\) Z. Proof : We have, \\(cos \\theta\\) = \\(PM\\over OP\\) \\(\\therefore\\)\u00a0 \u00a0\\(cos \\theta\\) = 0 \\(\\implies\\)\u00a0 \\(OM\\over OP\\) = 0 \\(\\implies\\) OM = 0 \\(\\implies\\)\u00a0 OP coincides with OY or OY’ \\(\\implies\\)\u00a0 \\(\\theta\\) =\u00a0 …<\/p>\n

What is the General Solution of \\(Cos \\theta\\) = 0 ?<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","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":[43,59],"tags":[],"yoast_head":"\nWhat is the General Solution of \\(Cos \\theta\\) = 0 ? - 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-general-solution-of-cos-theta-0\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the General Solution of \\(Cos \\theta\\) = 0 ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : The general solution of (cos theta) = 0 is given by (theta) = ((2n + 1){piover 2}), n (in) Z. Proof : We have, (cos theta) = (PMover OP) (therefore)\u00a0 \u00a0(cos theta) = 0 (implies)\u00a0 (OMover OP) = 0 (implies) OM = 0 (implies)\u00a0 OP coincides with OY or OY’ (implies)\u00a0 (theta) =\u00a0 … What is the General Solution of (Cos theta) = 0 ? 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Proof : We have, (cos theta) = (PMover OP) (therefore)\u00a0 \u00a0(cos theta) = 0 (implies)\u00a0 (OMover OP) = 0 (implies) OM = 0 (implies)\u00a0 OP coincides with OY or OY’ (implies)\u00a0 (theta) =\u00a0 … What is the General Solution of (Cos theta) = 0 ? 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