{"id":155436,"date":"2022-03-26T00:38:36","date_gmt":"2022-03-25T19:08:36","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/trigonometric-ratios\/"},"modified":"2024-12-19T11:22:04","modified_gmt":"2024-12-19T05:52:04","slug":"trigonometric-ratios","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/trigonometric-ratios\/","title":{"rendered":"Trigonometric Ratios"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/trigonometric-ratios\/#What_are_Trigonometric_Ratios\" title=\"What are Trigonometric Ratios?\">What are Trigonometric Ratios?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/trigonometric-ratios\/#Trigonometric_Ratios_Definition\" title=\"Trigonometric Ratios Definition\">Trigonometric Ratios Definition<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/trigonometric-ratios\/#A_Few_Applications_of_Trigonometry\" title=\"A Few Applications of Trigonometry\">A Few Applications of Trigonometry<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/trigonometric-ratios\/#Questions_to_be_Solved_on_All_Trigonometric_Ratios\" title=\"Questions to be Solved on All Trigonometric Ratios\">Questions to be Solved on All Trigonometric Ratios<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_are_Trigonometric_Ratios\"><\/span>What are Trigonometric Ratios?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Trigonometric Ratios- Infinity learn: The trigonometric ratios are the ratios of the lengths of the sides of a right triangle to the length of the hypotenuse. The three most common ratios are sine, cosine, and tangent.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Trigonometric_Ratios_Definition\"><\/span>Trigonometric Ratios Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The trigonometric ratios are the six fundamental ratios that are used to calculate the angles and distances of points on a triangle. The six ratios are sine, cosine, tangent, cosecant, secant, and cotangent.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"A_Few_Applications_of_Trigonometry\"><\/span>A Few Applications of Trigonometry<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>Some specific applications of trigonometry include finding the height of a building, measuring the distance between two points, and calculating the size of a ship&#8217;s mast. Additionally, trigonometry is often used in navigation and in surveying.<\/li>\n<li>Trigonometry has many practical applications in the real world. It can be used to calculate distances, heights, and angles. It can also be used to solve problems in physics and engineering.<\/li>\n<li>One application of trigonometry is calculating distances. This can be done using the Pythagorean theorem, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the long side. This theorem can be used to calculate the distance between two points on a plane.<\/li>\n<li>Another application of trigonometry is calculating heights. This can be done using the sine, cosine, and tangent functions. These functions can be used to find the height of a point on a plane relative to another point.<\/li>\n<li>Angle measurements can also be made using trigonometry. This can be used to solve problems in physics and engineering. For example, it can be used to calculate the force of a wind gust or the torque of a motor.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Questions_to_be_Solved_on_All_Trigonometric_Ratios\"><\/span>Questions to be Solved on All Trigonometric Ratios<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>1.In a right angled triangle, the length of the hypotenuse is 10 units, and the length of one of the other sides is 6 units. What is the length of the other side?<\/p>\n<p>Ans) The length of the other side is 4 units.<\/p>\n<p>2. What is the value of sin(x) when x = pi\/6?<\/p>\n<p>Ans) The value of sin(x) when x = pi\/6 is 1\/2.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What are Trigonometric Ratios? Trigonometric Ratios- Infinity learn: The trigonometric ratios are the ratios of the lengths of the sides [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Trigonometric Ratios- Infinity learn","_yoast_wpseo_title":"Trigonometric Ratios - Definition, Formulas, Examples | IL","_yoast_wpseo_metadesc":"Trigonometric ratios are the ratios of the lengths of the sides of a right triangle to the length of the hypotenuse only at Infinitylearn.com","custom_permalink":"maths\/trigonometric-ratios\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Trigonometric Ratios - Definition, Formulas, Examples | IL<\/title>\n<meta name=\"description\" content=\"Trigonometric ratios are the ratios of the lengths of the sides of a right triangle to the length of the hypotenuse only at Infinitylearn.com\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/trigonometric-ratios\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Trigonometric Ratios - 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