Evaluate :<\/p>\n
(i)<\/strong>\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\)<\/p>\n(ii)<\/strong> sin 25 cos 65 + cos 25 sin 65<\/p>\nSolution :<\/h2>\n(i)<\/strong>\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\)<\/p>\n= \\(cos^2 27 + sin^2 27\\over cos^2 17 + sin^2 17\\) = 1<\/strong><\/p>\n(ii)<\/strong> sin 25 cos 65 + cos 25 sin 65<\/p>\n= sin 25 cos(90 – 25) + cos 25 sin(90 – 25)<\/p>\n= sin 25 sin 25 + cos 25 cos 25<\/p>\n= \\(sin^2 25 + cos^2 25\\) = 1<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"Question : Evaluate : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) (ii) sin 25 cos 65 + cos 25 sin 65 Solution : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\) = \\(cos^2 …<\/p>\n Evaluate :<\/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 : - 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(ii)<\/strong> sin 25 cos 65 + cos 25 sin 65<\/p>\nSolution :<\/h2>\n(i)<\/strong>\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\)<\/p>\n= \\(cos^2 27 + sin^2 27\\over cos^2 17 + sin^2 17\\) = 1<\/strong><\/p>\n(ii)<\/strong> sin 25 cos 65 + cos 25 sin 65<\/p>\n= sin 25 cos(90 – 25) + cos 25 sin(90 – 25)<\/p>\n= sin 25 sin 25 + cos 25 cos 25<\/p>\n= \\(sin^2 25 + cos^2 25\\) = 1<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"Question : Evaluate : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) (ii) sin 25 cos 65 + cos 25 sin 65 Solution : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\) = \\(cos^2 …<\/p>\n Evaluate :<\/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 : - 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(i)<\/strong>\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\)<\/p>\n= \\(cos^2 27 + sin^2 27\\over cos^2 17 + sin^2 17\\) = 1<\/strong><\/p>\n(ii)<\/strong> sin 25 cos 65 + cos 25 sin 65<\/p>\n= sin 25 cos(90 – 25) + cos 25 sin(90 – 25)<\/p>\n= sin 25 sin 25 + cos 25 cos 25<\/p>\n= \\(sin^2 25 + cos^2 25\\) = 1<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"Question : Evaluate : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) (ii) sin 25 cos 65 + cos 25 sin 65 Solution : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\) = \\(cos^2 …<\/p>\n Evaluate :<\/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 : - 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= \\(cos^2 27 + sin^2 27\\over cos^2 17 + sin^2 17\\) = 1<\/strong><\/p>\n(ii)<\/strong> sin 25 cos 65 + cos 25 sin 65<\/p>\n= sin 25 cos(90 – 25) + cos 25 sin(90 – 25)<\/p>\n= sin 25 sin 25 + cos 25 cos 25<\/p>\n= \\(sin^2 25 + cos^2 25\\) = 1<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"Question : Evaluate : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) (ii) sin 25 cos 65 + cos 25 sin 65 Solution : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\) = \\(cos^2 …<\/p>\n Evaluate :<\/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 : - 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(ii)<\/strong> sin 25 cos 65 + cos 25 sin 65<\/p>\n= sin 25 cos(90 – 25) + cos 25 sin(90 – 25)<\/p>\n= sin 25 sin 25 + cos 25 cos 25<\/p>\n= \\(sin^2 25 + cos^2 25\\) = 1<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"Question : Evaluate : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) (ii) sin 25 cos 65 + cos 25 sin 65 Solution : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\) = \\(cos^2 …<\/p>\n Evaluate :<\/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 : - 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= sin 25 cos(90 – 25) + cos 25 sin(90 – 25)<\/p>\n
= sin 25 sin 25 + cos 25 cos 25<\/p>\n
= \\(sin^2 25 + cos^2 25\\) = 1<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"Question : Evaluate : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) (ii) sin 25 cos 65 + cos 25 sin 65 Solution : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\) = \\(cos^2 …<\/p>\n Evaluate :<\/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 : - 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Question : Evaluate : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) (ii) sin 25 cos 65 + cos 25 sin 65 Solution : (i)\u00a0 \\(sin^2 63 + sin^2 27\\over cos^2 17 + cos^2 73\\) = \\(sin^2 (90 – 27) + sin^2 27\\over cos^2 17 + cos^2 (90 – 17)\\) = \\(cos^2 …<\/p>\n
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