{"id":11617,"date":"2022-08-02T14:27:13","date_gmt":"2022-08-02T08:57:13","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11617"},"modified":"2022-08-02T14:27:21","modified_gmt":"2022-08-02T08:57:21","slug":"if-sin-a-3over-4-calculate-cos-a-and-tan-a","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-sin-a-3over-4-calculate-cos-a-and-tan-a\/","title":{"rendered":"If Sin A = \\(3\\over 4\\), Calculate Cos A and Tan A."},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Consider a triangle ABC in which \\(\\angle\\) B = 90<img decoding=\"async\" loading=\"lazy\" class=\" wp-image-11627 alignright\" src=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-3.jpeg?resize=197%2C187&#038;ssl=1\" alt=\"triangle\" width=\"197\" height=\"187\" srcset=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-3.jpeg?resize=300%2C285&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-3.jpeg?resize=1024%2C973&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-3.jpeg?resize=768%2C730&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-3.jpeg?resize=1536%2C1459&amp;ssl=1 1536w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-3.jpeg?w=1700&amp;ssl=1 1700w\" sizes=\"(max-width: 197px) 100vw, 197px\" data-recalc-dims=\"1\" \/><\/p>\n<p>For \\(\\angle\\) A, we have :<\/p>\n<p>Base = AB, Perpendicular = BC and Hypotenuse = AC,<\/p>\n<p>\\(\\therefore\\)\u00a0 Sin A = \\(perpendicular\\over hypotenuse\\) = \\(BC\\over AC\\) = \\(3\\over 4\\)<\/p>\n<p>Let BC = 3k and AC = 4k,<\/p>\n<p>Then,\u00a0 \\({AB}^2\\) = \\({AC}^2 &#8211; {BC}^2\\) = \\(\\sqrt{7}\\)<\/p>\n<p>\\(\\therefore\\)\u00a0 cos A = \\(Base\\over Hypotenuse\\) = \\(AB\\over AC\\) = <strong>\\(\\sqrt{7}\\over 4\\)<\/strong><\/p>\n<p>and\u00a0 tan A = \\(perpendicular\\over hypotenuse\\) = \\(BC\\over AB\\) = <strong>\\(3\\over \\sqrt{7}\\)<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Consider a triangle ABC in which \\(\\angle\\) B = 90 For \\(\\angle\\) A, we have : Base = AB, Perpendicular = BC and Hypotenuse = AC, \\(\\therefore\\)\u00a0 Sin A = \\(perpendicular\\over hypotenuse\\) = \\(BC\\over AC\\) = \\(3\\over 4\\) Let BC = 3k and AC = 4k, Then,\u00a0 \\({AB}^2\\) = \\({AC}^2 &#8211; {BC}^2\\) = &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/if-sin-a-3over-4-calculate-cos-a-and-tan-a\/\"> <span class=\"screen-reader-text\">If Sin A = \\(3\\over 4\\), Calculate Cos A and Tan A.<\/span> Read More &raquo;<\/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":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If Sin A = \\(3\\over 4\\), Calculate Cos A and Tan A. - 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\/if-sin-a-3over-4-calculate-cos-a-and-tan-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If Sin A = \\(3\\over 4\\), Calculate Cos A and Tan A. - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : Consider a triangle ABC in which (angle) B = 90 For (angle) A, we have : Base = AB, Perpendicular = BC and Hypotenuse = AC, (therefore)\u00a0 Sin A = (perpendicularover hypotenuse) = (BCover AC) = (3over 4) Let BC = 3k and AC = 4k, Then,\u00a0 ({AB}^2) = ({AC}^2 &#8211; {BC}^2) = &hellip; If Sin A = (3over 4), Calculate Cos A and Tan A. 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Mathemerize","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/if-sin-a-3over-4-calculate-cos-a-and-tan-a\/","og_locale":"en_US","og_type":"article","og_title":"If Sin A = \\(3\\over 4\\), Calculate Cos A and Tan A. - Mathemerize","og_description":"Solution : Consider a triangle ABC in which (angle) B = 90 For (angle) A, we have : Base = AB, Perpendicular = BC and Hypotenuse = AC, (therefore)\u00a0 Sin A = (perpendicularover hypotenuse) = (BCover AC) = (3over 4) Let BC = 3k and AC = 4k, Then,\u00a0 ({AB}^2) = ({AC}^2 &#8211; {BC}^2) = &hellip; If Sin A = (3over 4), Calculate Cos A and Tan A. 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