{"id":66206,"date":"2023-06-07T18:33:00","date_gmt":"2023-06-07T13:03:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=66206"},"modified":"2023-12-15T15:50:23","modified_gmt":"2023-12-15T10:20:23","slug":"rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/","title":{"rendered":"RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions"},"content":{"rendered":"\n<p>RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 Solutions: &#8220;<a href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-solutions-class-10-maths-chapter-8-trigonometric-identities\/\">Trigonometric Identities<\/a>&#8221; is one of the best complementary study resources for a complete chapter review. Once you go through your NCERT Mathematics textbook or your other course books and practice all the questions, you should refer to the RS Aggarwal book for different types of practice questions.<\/p>\n<p>There are 37 questions in practice based on trigonometric identities. Most of them are evidence-based questions where you have to prove that the LHS is equivalent to the RHS using different trigonometric identities. To solve these questions, you must have a complete understanding of trigonometric identities.<\/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-69d9e7cf42448\" 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-69d9e7cf42448\"><\/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\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#download-rs-aggarwal-chapter-8-class-10-maths-exercise-81-solutions\" title=\"Download RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 Solutions\">Download RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 Solutions<\/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\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#important-definition-for-rs-aggarwal-chapter-8-class-10-maths-ex-8a-solutions\" title=\"Important Definition for RS Aggarwal Chapter\u00a08 Class 10 Maths Ex 8a\u00a0Solutions\">Important Definition for RS Aggarwal Chapter\u00a08 Class 10 Maths Ex 8a\u00a0Solutions<\/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:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#what-exactly-are-trigonometric-identities\" title=\"What exactly are Trigonometric Identities?\">What exactly are Trigonometric Identities?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#reciprocal-trigonometric-identities\" title=\"Reciprocal Trigonometric Identities\">Reciprocal Trigonometric Identities<\/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\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#important-trigonometric-identities-notes\" title=\"Important Trigonometric Identities Notes\">Important Trigonometric Identities Notes<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#faqs-on-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions\" title=\"FAQs on RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions\">FAQs on RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#from-where-can-i-find-the-download-link-for-the-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions-pdf\" title=\"From where can I find the download link for the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF?\">From where can I find the download link for the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#how-much-does-it-cost-to-download-the-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions-pdf\" title=\"How much does it cost to download the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF?\">How much does it cost to download the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/#can-i-access-the-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions-pdf-offline\" title=\"Can I access the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF offline?\">Can I access the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rs-aggarwal-chapter-8-class-10-maths-exercise-81-solutions\"><\/span>Download RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 Solutions<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\/RS-Aggarwal-Class-10-Solutions-Chapter-8-Exercise-8A.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/12\/RS-Aggarwal-Class-10-Solutions-Chapter-8-Exercise-8A.pdf\">RS-Aggarwal-Class-10-Solutions-Chapter-8-Exercise-8A<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-for-rs-aggarwal-chapter-8-class-10-maths-ex-8a-solutions\"><\/span>Important Definition for RS Aggarwal Chapter\u00a08 Class 10 Maths Ex 8a\u00a0Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>RS Aggarwal Solutions\u00a0for Chapter 8 lets you know that:<\/p>\n<ul>\n<li>sin A = side opposite to angle A \/Hypotenuse<\/li>\n<li>cos A = side adjacent to angle A\/hypotenuse<\/li>\n<li>tan A = side opposite to angle A\/ side adjacent to angle A<\/li>\n<\/ul>\n<p>In RS Aggarwal Solutions for Chapter \u2013 \u2018Trigonometric Identities\u2019, you will get to understand that if one of the trigonometric ratios of an acute angle is given to you, then you can easily determine the remaining trigonometric ratios.<\/p>\n<ul>\n<li>cosec A = 1\/sin A ; sec A = 1\/cos A ; tan A = 1\/cot A, tan A = sin A \/cos A<\/li>\n<\/ul>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"what-exactly-are-trigonometric-identities\"><\/span>What exactly are Trigonometric Identities?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trigonometric Identities are equations that are true for any value of the variable in the domain and relate to various trigonometric functions. A mathematical expression that holds for all values of the variable(s) it contains is called an identity.<\/p>\n<p dir=\"ltr\">For instance, here are some algebraic identities:<\/p>\n<p dir=\"ltr\">(m + n)2 = m2 + 2mn + n2<\/p>\n<p dir=\"ltr\">(m &#8211; n)2 = m2 &#8211; 2mn + n2<\/p>\n<p dir=\"ltr\">(m + n)(m &#8211; n)= m2 &#8211; n2<\/p>\n<p dir=\"ltr\">The variables are only addressed in the algebraic identities, whereas the six trigonometric functions sine, cosine, tangent, cosecant, secant, and cotangent are addressed in the trig identities. Let&#8217;s take a closer look at each type of trigonometric identity.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"reciprocal-trigonometric-identities\"><\/span>Reciprocal Trigonometric Identities<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">We already know that cosecant, secant, and cotangent are the reciprocals of sin, cosine, and tangent, respectively.<\/p>\n<p dir=\"ltr\">As a result, the reciprocal identities are as follows:<\/p>\n<ul>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">sin \u03b8 = 1\/cosec\u03b8 (OR) cosec \u03b8 = 1\/sin\u03b8<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">cos \u03b8 = 1\/sec\u03b8 (OR) sec \u03b8 = 1\/cos\u03b8<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">tan \u03b8 = 1\/cot\u03b8 (OR) cot \u03b8 = 1\/tan\u03b8<\/p>\n<\/li>\n<\/ul>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"important-trigonometric-identities-notes\"><\/span>Important Trigonometric Identities Notes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">We use the pairs (sin, cos), (cosec, sec), and (tan, cot) to write the trigonometric ratios of complementary angles.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">The trigonometric ratio will not change while writing the trigonometric ratios of supplementary angles. The fact that only sin and cosec are positive in the second quadrant where the angle is of the form (180-\u03b8) can be used to determine the sign.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">The cos 2x formula has three different formulas. Only the first one is worth remembering because the other two can be found using the Pythagorean identity sin2x + cos2x = 1.<\/p>\n<\/li>\n<li dir=\"ltr\" aria-level=\"1\">\n<p dir=\"ltr\" role=\"presentation\">Applying the identity tan = sin\/cos and then using the half-angle formulas of sin and cos yields the tan half-angle formula.<\/p>\n<\/li>\n<\/ul>\n<p>Know latest updates on the CBSE Class 10 Board Exam at the <a href=\"http:\/\/cbseacademic.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer\">Official Site<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions\"><\/span>FAQs on RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1686204294083\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"from-where-can-i-find-the-download-link-for-the-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions-pdf\"><\/span>From where can I find the download link for the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link of the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF in the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1686204310762\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions-pdf\"><\/span>How much does it cost to download the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can find the download link of the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF in the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1686204322202\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rs-aggarwal-chapter-8-class-10-maths-exercise-81-ex-8a-solutions-pdf-offline\"><\/span>Can I access the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions PDF online, you can access it offline whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 Solutions: &#8220;Trigonometric Identities&#8221; is one of the best complementary study resources for a complete chapter review. Once you go through your NCERT Mathematics textbook or your other course books and practice all the questions, you should refer to the RS Aggarwal book for different types of &#8230; <a title=\"RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rs-aggarwal-chapter-8-class-10-maths-exercise-8-1-solutions\/\" aria-label=\"More on RS Aggarwal Chapter 8 Class 10 Maths Exercise 8.1 (ex 8a) Solutions\">Read more<\/a><\/p>\n","protected":false},"author":236,"featured_media":66207,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2917,73724,73412,2985,73410],"tags":[3243,9206,4711],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66206"}],"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=66206"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66206\/revisions"}],"predecessor-version":[{"id":523036,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/66206\/revisions\/523036"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/66207"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=66206"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=66206"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=66206"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}