{"id":7848,"date":"2023-04-05T22:03:00","date_gmt":"2023-04-05T16:33:00","guid":{"rendered":"https:\/\/physicscatalyst.com\/article\/?p=7848"},"modified":"2023-04-02T00:06:02","modified_gmt":"2023-04-01T18:36:02","slug":"trigonometric-ratios-of-angle-a-in-terms-of-sin-a","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/trigonometric-ratios-of-angle-a-in-terms-of-sin-a\/","title":{"rendered":"Trigonometric ratios of angle A in terms of sin A"},"content":{"rendered":"\n

In this post ,we will see how we can write all the Trigonometric ratios of angle A in the terms of sin A. Here we would be focusing on acute angle A only<\/p>\n\n\n\n

Value of Cos A in terms of sin A<\/h2>\n\n\n\n

From Trigonometric Identity<\/p>\n\n\n\n

$\\sin ^2 A + \\cos ^2 A= 1$
or
$\\cos ^2 A = 1- \\sin ^2 A$
$\\cos A = \\sqrt { 1 – \\sin ^2 A}$<\/p>\n\n\n\n

Value of tan A in terms of sin A<\/h2>\n\n\n\n

Now Value of tan is given by<\/p>\n\n\n\n

$tan A = \\frac { \\sin A}{\\cos A} = \\frac { \\sin A}{\\sqrt {1 – \\sin ^2 A}}$<\/p>\n\n\n\n

Value of cosec A in terms of sin A<\/h2>\n\n\n\n

Now Value of cosec is given by<\/p>\n\n\n\n

$\\csc A = \\frac {1}{\\sin A} $<\/p>\n\n\n\n

Value of sec A in terms of sin A<\/h2>\n\n\n\n

$sec A = \\frac {1}{cos A} = \\frac {1}{\\sqrt {1 – sin^2 A}}$<\/p>\n\n\n\n

Value of cot A in terms of sin A<\/h2>\n\n\n\n

$\\cot A = \\frac {1}{\\tan A} = \\frac {\\sqrt {1 – \\sin ^2 A}}{ \\sin A}$<\/p>\n\n\n\n

In Short<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"

In this post ,we will see how we can write all the Trigonometric ratios of angle A in the terms of sin A. Here we would be focusing on acute angle A only Value of Cos A in terms of sin A From Trigonometric Identity $\\sin ^2 A + \\cos ^2 A= 1$or$\\cos ^2 A […]<\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","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":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[24],"tags":[],"class_list":["post-7848","post","type-post","status-publish","format-standard","hentry","category-general"],"yoast_head":"\nTrigonometric ratios of angle A in terms of sin A<\/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:\/\/physicscatalyst.com\/article\/trigonometric-ratios-of-angle-a-in-terms-of-sin-a\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Trigonometric ratios of angle A in terms of sin A\" \/>\n<meta property=\"og:description\" content=\"In this post ,we will see how we can write all the Trigonometric ratios of angle A in the terms of sin A. 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this post ,we will see how we can write all the Trigonometric ratios of angle A in the terms of sin A. Here we would be focusing on acute angle A only Value of Cos A in terms of sin A From Trigonometric Identity $\\sin ^2 A + \\cos ^2 A= 1$or$\\cos ^2 A…","_links":{"self":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/7848","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/comments?post=7848"}],"version-history":[{"count":2,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/7848\/revisions"}],"predecessor-version":[{"id":7854,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/posts\/7848\/revisions\/7854"}],"wp:attachment":[{"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/media?parent=7848"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/categories?post=7848"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physicscatalyst.com\/article\/wp-json\/wp\/v2\/tags?post=7848"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}