{"id":66753,"date":"2023-08-31T12:55:00","date_gmt":"2023-08-31T07:25:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=66753"},"modified":"2023-11-30T10:15:06","modified_gmt":"2023-11-30T04:45:06","slug":"rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/","title":{"rendered":"RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution- Trigonometric Ratios are designed to help you prepare well for the CBSE Class 10 board exam. These solutions cover all aspects of trigonometric relations based on the relationship between the sides and angles of a triangle. Trigonometry is used to measure the height and length of objects and the greater distance that would be difficult to measure with common instruments. This chapter mentions that the ratio of the acute angles of a right triangle to its sides is known as the trigonometric ratio of the angles.<\/p>\n<p>RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution: There are 11 questions in this exercise. Questions 1 and 2 ask you to evaluate equations based on trigonometric ratios. Question 3 asks you to express the equation based on the trigonometric ratio of the angle in terms of angles between 0 \u00b0 and 30 \u00b0. Questions 4 and 11 ask you to find the value of an unknown angle in the given equation. Questions 7 through 5 ask you to test the similarity between the given trigger equations. Questions 8 through 10 ask you to determine the degree measure of the angle in the given equation.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69ea5de420f84\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69ea5de420f84\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/#download-rd-sharma-chapter-10-class-10-maths-exercise-103-solution\" title=\"Download RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution\">Download RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/#important-definition-for-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\" title=\"Important Definition for RD Sharma\u00a0Chapter 10 Class 10 Maths Exercise 10.3 Solutions\">Important Definition for RD Sharma\u00a0Chapter 10 Class 10 Maths Exercise 10.3 Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/#faqs-on-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\" title=\"FAQs on RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions\">FAQs on RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/#what-are-the-benefits-of-using-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\" title=\"What are the benefits of using RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions?\">What are the benefits of using RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/#where-can-i-download-rrd-sharma-chapter-10-class-10-maths-exercise-103-solutions-free-pdf\" title=\"Where can I download RRD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions free PDF?\">Where can I download RRD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions free PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/#is-it-important-to-study-all-of-the-concepts-included-in-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\" title=\"Is it important to study all of the concepts included in RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions?\">Is it important to study all of the concepts included in RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-10-class-10-maths-exercise-103-solution\"><\/span>Download RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-SHARMA-Solutions-Class-10-Maths-Chapter-5-Ex-5.3.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RD-SHARMA-Solutions-Class-10-Maths-Chapter-5-Ex-5.3.pdf\">RD SHARMA Solutions Class 10 Maths Chapter 5 Ex 5.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-for-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\"><\/span>Important Definition for RD Sharma\u00a0Chapter 10 Class 10 Maths Exercise 10.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><b><\/b><strong><b>Trigonometric Ratios<\/b><\/strong><\/li>\n<\/ul>\n<p>This chapter teaches you that the Trigonometric Ratios of an acute angle in a right-angle triangle mention the relationship between the angle and the length of its sides. Imagine a triangle ABC right angled at B, the ratios are defined with respect to either of the acute angle \u2018A\u2019 or \u2018C\u2019. The angle may be called as \u2018\u03b8\u2019.<\/p>\n<p>The 6 Trigonometric Ratios with respect to the sides of a chosen angle A are given as \u2013<\/p>\n<p>sin A = side opposite to angle A\/ hypotenuse\u00a0<\/p>\n<p>cos A = side next to to angle\/ hypotenuse<\/p>\n<p>tan A = side opposite to angle A\/side adjacent to angle A.<\/p>\n<p>cosec A = 1\/sin A; sec A = 1 \/ cos A; tan A = 1\/ cot A; tan A = sin A\/ cos A\u00a0<\/p>\n<p>Knowing one of the Trigonometric Ratios of an acute angle, we come to know about the remaining Trigonometric Ratios of the angle also. There is no change in values related to Trigonometric Ratios of an angle when we change the measurements of the sides of the triangle, in case the angle remains the same.\u00a0<\/p>\n<ul>\n<li><b><\/b><strong><b>Trigonometric Ratios of Some Specific Angles\u00a0<\/b><\/strong><\/li>\n<\/ul>\n<p>Here you learn to\u00a0derive the particular numerical values for Trigonometric Ratios for 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0 and 90\u00b0. You also come to know that sin A increases from 0 to 1 whereas cos A decreases from 1 to 0 when angling A increases from 0\u00b0 to 90\u00b0.\u00a0<\/p>\n<ul>\n<li><b><\/b><strong><b>Trigonometric Ratios of Complementary Angles\u00a0<\/b><\/strong><\/li>\n<\/ul>\n<p>In this section of the Chapter, you will learn that we call any two angles of complementary angles when their sum is equal to 90\u00b0. In a right-angled triangle the other two angles except for the right angle, have the sum of 90\u00b0 and hence they are complementary to each other. So in general, sin (90\u00b0 \u2013 A) = cos A, cos (90\u00b0 \u2013 A) = sin A; tan (90\u00b0 \u2013 A) = cot A, cot (90\u00b0 \u2013 A) = tan A; sec (90\u00b0 \u2013 A) = cosec A, cosec (90\u00b0 \u2013 A) = sec A; for all the values of angle A lying between 0\u00b0 and 90\u00b0.\u00a0<\/p>\n<p>Know more at the <a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">official website<\/a>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\"><\/span>FAQs on RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u00a0<\/p>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1701315725847\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-using-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\"><\/span>What are the benefits of using RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>1. Correct answers according to the latest CBSE guidelines and syllabus.<br \/>2. The RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions is written in simple language to assist students in their board examination, &amp; competitive examination preparation.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1701315791898\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rrd-sharma-chapter-10-class-10-maths-exercise-103-solutions-free-pdf\"><\/span>Where can I download RRD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1701315810356\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-important-to-study-all-of-the-concepts-included-in-rd-sharma-chapter-10-class-10-maths-exercise-103-solutions\"><\/span>Is it important to study all of the concepts included in RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, learning all of the concepts included in RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions is required in order to achieve high scores on the Class 10 board exams.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solution- Trigonometric Ratios are designed to help you prepare well for the CBSE Class 10 board exam. These solutions cover all aspects of trigonometric relations based on the relationship between the sides and angles of a triangle. Trigonometry is used to measure the height and length &#8230; <a title=\"RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-10-class-10-maths-exercise-10-3-solution\/\" aria-label=\"More on RD Sharma Chapter 10 Class 10 Maths Exercise 10.3 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":236,"featured_media":66889,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,73396,73411,73410],"tags":[3243,9206,73520],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66753"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/236"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=66753"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66753\/revisions"}],"predecessor-version":[{"id":514496,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66753\/revisions\/514496"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/66889"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=66753"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=66753"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=66753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}