{"id":11701,"date":"2022-08-14T23:43:12","date_gmt":"2022-08-14T18:13:12","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11701"},"modified":"2022-08-14T23:43:18","modified_gmt":"2022-08-14T18:13:18","slug":"choose-the-correct-option-and-justify-your-choice","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/choose-the-correct-option-and-justify-your-choice\/","title":{"rendered":"Choose the correct option and justify your choice :"},"content":{"rendered":"

Question :<\/h2>\n

(i)<\/strong>\u00a0 \\(2 tan 30\\over 1 + tan^2 30\\) =<\/p>\n

(a) sin 60<\/p>\n

(b) cos 60<\/p>\n

(c) tan 60<\/p>\n

(d) sin 30<\/p>\n

(ii)<\/strong>\u00a0 \\(1 – tan^2 45\\over 1 + tan^2 45\\) =<\/p>\n

(a) tan 90<\/p>\n

(b) 1<\/p>\n

(c) sin 45<\/p>\n

(d) 0<\/p>\n

(iii)<\/strong>\u00a0 sin 2A = 2 sin A is the true when A =<\/p>\n

(a) 0<\/p>\n

(b) 30<\/p>\n

(c) 45<\/p>\n

(d) 60<\/p>\n

(iv)<\/strong>\u00a0 \\(2 tan 30\\over 1 – tan^2 30\\) =<\/p>\n

(a) cos 60<\/p>\n

(b) sin 60<\/p>\n

(c) tan 60<\/p>\n

(d) sin 30<\/p>\n

Solution :<\/h2>\n

(i)<\/strong>\u00a0 (a)<\/strong> Because \\(2 tan A\\over 1 + tan^2 A\\) = sin 2A = sin 60<\/p>\n

(ii)<\/strong> (d)<\/strong>\u00a0 Because \\(1 – tan^2 45\\over 1 + tan^2 45\\) = \\(1 – 1\\over 1 + 1\\) = 0<\/p>\n

(iii)<\/strong>\u00a0 (a)<\/strong> Because when A = 0, sin 2A = sin 0 = 0<\/p>\n

and, 2 sin A = 2 sin 0 = 2(0) = 0<\/p>\n

or sin 2A = 2 sin A, when A = 0<\/p>\n

(iv)<\/strong> (c)<\/strong> Because \\(2 tan A\\over 1 – tan^2 A\\) = tan 2A = tan 60<\/p>\n","protected":false},"excerpt":{"rendered":"

Question : (i)\u00a0 \\(2 tan 30\\over 1 + tan^2 30\\) = (a) sin 60 (b) cos 60 (c) tan 60 (d) sin 30 (ii)\u00a0 \\(1 – tan^2 45\\over 1 + tan^2 45\\) = (a) tan 90 (b) 1 (c) sin 45 (d) 0 (iii)\u00a0 sin 2A = 2 sin A is the true when A …<\/p>\n

Choose the correct option and justify your choice :<\/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":[43,60],"tags":[],"yoast_head":"\nChoose the correct option and justify your choice : - 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\/choose-the-correct-option-and-justify-your-choice\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Choose the correct option and justify your choice : - 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