{"id":264794,"date":"2025-07-21T16:17:06","date_gmt":"2025-07-21T16:17:06","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=264794"},"modified":"2025-07-21T16:17:08","modified_gmt":"2025-07-21T16:17:08","slug":"which-of-the-following-represents-the-cosine-of-70-degrees","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/21\/which-of-the-following-represents-the-cosine-of-70-degrees\/","title":{"rendered":"which of the following represents the cosine of 70 degrees"},"content":{"rendered":"\n<p>which of the following represents the cosine of 70 degrees<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The cosine of 70 degrees, denoted as cos\u206170\u2218\\cos 70^\\circcos70\u2218, represents the ratio of the adjacent side to the hypotenuse in a right triangle. It can be expressed as:cos\u206170\u2218\u22480.3420\\cos 70^\\circ \\approx 0.3420cos70\u2218\u22480.3420<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To understand why cos\u206170\u2218\u22480.3420\\cos 70^\\circ \\approx 0.3420cos70\u2218\u22480.3420, we can recall that cosine is one of the trigonometric functions, which relates the angles of a right triangle to the lengths of its sides. Specifically:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>cosine<\/strong> of an angle is defined as the ratio of the <strong>length of the adjacent side<\/strong> to the <strong>length of the hypotenuse<\/strong> in a right triangle.<\/li>\n\n\n\n<li>Mathematically, for an angle \u03b8\\theta\u03b8 in a right triangle: cos\u2061(\u03b8)=Adjacent\u00a0sideHypotenuse\\cos(\\theta) = \\frac{\\text{Adjacent side}}{\\text{Hypotenuse}}cos(\u03b8)=HypotenuseAdjacent\u00a0side\u200b<\/li>\n<\/ul>\n\n\n\n<p>For a specific angle, 70\u221870^\\circ70\u2218, this ratio is constant. If you use a calculator or a trigonometric table to find cos\u206170\u2218\\cos 70^\\circcos70\u2218, it approximates to 0.3420. This value is crucial in various applications, especially in fields like physics, engineering, and computer graphics, where precise angle measurements are necessary.<\/p>\n\n\n\n<p>In practical terms, the cosine function for acute angles (between 0\u00b0 and 90\u00b0) decreases as the angle increases. Since cos\u20610\u2218=1\\cos 0^\\circ = 1cos0\u2218=1 and cos\u206190\u2218=0\\cos 90^\\circ = 0cos90\u2218=0, we know that as the angle increases from 0\u00b0 to 90\u00b0, the cosine value decreases gradually. For 70\u221870^\\circ70\u2218, it is roughly 0.3420, which reflects its position on this decreasing curve.<\/p>\n\n\n\n<p>This approximation is commonly used in calculations involving angles, vectors, and waveforms, where precision is essential.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1410.jpeg\" alt=\"\" class=\"wp-image-264801\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>which of the following represents the cosine of 70 degrees The Correct Answer and Explanation is: The cosine of 70 degrees, denoted as cos\u206170\u2218\\cos 70^\\circcos70\u2218, represents the ratio of the adjacent side to the hypotenuse in a right triangle. It can be expressed as:cos\u206170\u2218\u22480.3420\\cos 70^\\circ \\approx 0.3420cos70\u2218\u22480.3420 Explanation: To understand why cos\u206170\u2218\u22480.3420\\cos 70^\\circ \\approx 0.3420cos70\u2218\u22480.3420, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"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":"","ast-disable-related-posts":"","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":[25],"tags":[],"class_list":["post-264794","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/264794","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=264794"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/264794\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=264794"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=264794"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=264794"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}