{"id":11712,"date":"2022-08-16T00:50:50","date_gmt":"2022-08-15T19:20:50","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11712"},"modified":"2022-08-16T00:50:57","modified_gmt":"2022-08-15T19:20:57","slug":"evaluate-the-following","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/evaluate-the-following\/","title":{"rendered":"Evaluate the following :"},"content":{"rendered":"

Question :<\/h2>\n

(i)<\/strong>\u00a0 \\(sin 18\\over cos 72\\)<\/p>\n

(ii)<\/strong>\u00a0 \\(tan 26\\over cot 64\\)<\/p>\n

(iii)<\/strong>\u00a0 cos 48 – sin 42<\/p>\n

(iv)<\/strong>\u00a0 cosec 31 – sec 59<\/p>\n

Solution :<\/h2>\n

(i)<\/strong>\u00a0 \\(sin 18\\over cos 72\\) = \\(sin 18\\over cos (90 – 18)\\) = \\(sin 18\\over sin 18\\) = 1<\/strong><\/p>\n

(ii)<\/strong>\u00a0 \\(tan 26\\over cot 64\\) = \\(tan 26\\over cot (90 – 26)\\) = \\(tan 26\\over tan 26\\) = 1<\/strong><\/p>\n

(iii)<\/strong>\u00a0 cos 48 – sin 42 = cos(90 – 42) – sin 42 = sin 42 – sin 42 = 0<\/strong><\/p>\n

(iv)<\/strong>\u00a0 cosec 31 – sec 59 = cosec 31 – sec(90 – 31) = cosec 31 – cosec 31 = 0<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Question : (i)\u00a0 \\(sin 18\\over cos 72\\) (ii)\u00a0 \\(tan 26\\over cot 64\\) (iii)\u00a0 cos 48 – sin 42 (iv)\u00a0 cosec 31 – sec 59 Solution : (i)\u00a0 \\(sin 18\\over cos 72\\) = \\(sin 18\\over cos (90 – 18)\\) = \\(sin 18\\over sin 18\\) = 1 (ii)\u00a0 \\(tan 26\\over cot 64\\) = \\(tan 26\\over cot (90 …<\/p>\n

Evaluate the following :<\/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":"\nEvaluate the following : - 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\/evaluate-the-following\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Evaluate the following : - 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