{"id":119091,"date":"2021-08-25T16:50:36","date_gmt":"2021-08-25T11:20:36","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=119091"},"modified":"2021-08-25T17:12:30","modified_gmt":"2021-08-25T11:42:30","slug":"rd-sharma-solutions-class-12-chapter-4-exercise-4-13","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-13\/","title":{"rendered":"RD Sharma Class 12 Solutions Chapter 4 Inverse Trigonometric Functions Ex 4.13 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-119112\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Chapter-4-Exercise-4.13.png\" alt=\"RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Chapter-4-Exercise-4.13.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Chapter-4-Exercise-4.13-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13\u00a0<\/strong>in PDF are avaialble here. Students can refer to it and download it using the provided links. There are four primary questions in this exercise. All concepts addressed in this exercise are covered in <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-12-solutions\/\"><strong>RD Sharma Solutions for Class 12<\/strong><\/a>. With stepwise explanations, <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-4\/\"><strong>RD Sharma Solutions for Class 12 Maths Chapter 4<\/strong><\/a> covers the properties of inverse trigonometric functions.<\/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-69e7cc6908e34\" 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-69e7cc6908e34\"><\/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-solutions-class-12-chapter-4-exercise-4-13\/#download-rd-sharma-solutions-class-12-chapter-4-exercise-413-free-pdf\" title=\"Download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13 Free PDF\">Download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13 Free PDF<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-13\/#access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-4-%e2%80%93-inverse-trigonometric-functions-exercise-413-important-questions-with-solution\" title=\"Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions Exercise 4.13 Important Questions With Solution\">Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions Exercise 4.13 Important Questions With Solution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-13\/#access-other-exercises-of-rd-sharma-solutions-for-class-12-chapter-4-%e2%80%93-inverse-trigonometric-functions\" title=\"Access other exercises of RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions\">Access other exercises of RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-13\/#faqs-on-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-413\" title=\"FAQs on RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13\">FAQs on RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-13\/#how-many-questions-are-there-in-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-413\" title=\"How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13?\">How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13?<\/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-solutions-class-12-chapter-4-exercise-4-13\/#is-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-413-for-free\" title=\"Is RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13 for free?\">Is RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13 for free?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-13\/#where-can-i-download-rd-sharma-solutions-class-12-chapter-4-exercise-413-free-pdf\" title=\"Where can I download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13 free PDF?\">Where can I download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13 free PDF?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-solutions-class-12-chapter-4-exercise-413-free-pdf\"><\/span>Download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13 Free PDF<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: 800px;}<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\/2021\/08\/RD-_Sharma-_Class_12_Chapter_04_4.13.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-_Sharma-_Class_12_Chapter_04_4.13.pdf\">RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-4-%e2%80%93-inverse-trigonometric-functions-exercise-413-important-questions-with-solution\"><\/span>Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions Exercise 4.13 Important Questions With Solution<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>1. If cos<sup>-1<\/sup>\u00a0(x\/2) + cos<sup>-1<\/sup>\u00a0(y\/3) = \u03b1, then prove that 9x<sup>2<\/sup>\u00a0\u2013 12xy cos \u03b1 + 4y<sup>2<\/sup>\u00a0= 36 sin<sup>2<\/sup>\u00a0\u03b1<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given cos<sup>-1<\/sup>\u00a0(x\/2) + cos<sup>-1<\/sup>\u00a0(y\/3) = \u03b1<\/p>\n<p><img class=\"alignnone size-full wp-image-119239\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/r2.png\" alt=\"r2\" width=\"462\" height=\"610\" \/><\/p>\n<p><img class=\"alignnone size-full wp-image-119240\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/r3.png\" alt=\"r3\" width=\"376\" height=\"190\" \/><\/p>\n<p>Hence, proved.<\/p>\n<p><strong>2. Solve the equation: cos<sup>-1\u00a0<\/sup>(a\/x) \u2013 cos<sup>-1<\/sup>\u00a0(b\/x) = cos<sup>-1<\/sup>\u00a0(1\/b) \u2013 cos<sup>-1<\/sup>\u00a0(1\/a)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given cos<sup>-1\u00a0<\/sup>(a\/x) \u2013 cos<sup>-1<\/sup>\u00a0(b\/x) = cos<sup>-1<\/sup>\u00a0(1\/b) \u2013 cos<sup>-1<\/sup>\u00a0(1\/a)<\/p>\n<p><img class=\"alignnone size-full wp-image-119242\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/r4.png\" alt=\"r4\" width=\"558\" height=\"394\" \/><\/p>\n<p><img class=\"alignnone size-full wp-image-119243\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/r5.png\" alt=\"r5\" width=\"405\" height=\"98\" \/><\/p>\n<p><img class=\"alignnone size-full wp-image-119244\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/r6.png\" alt=\"r6\" width=\"414\" height=\"263\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-other-exercises-of-rd-sharma-solutions-for-class-12-chapter-4-%e2%80%93-inverse-trigonometric-functions\"><\/span>Access other exercises of RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-4-exercise-4-1\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.1<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-4-exercise-4-2\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.2<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-3\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.3<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-4\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.4<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-5\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.5<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-6\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.6<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-7\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.7<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-8\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.8<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-9\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.9<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-10\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.10<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-11\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.11<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-12\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.12<\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-14\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.14<\/a><\/li>\n<\/ul>\n<p>We have provided complete details of <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions\/\"><strong>RD Sharma Solutions<\/strong><\/a> for Class 12 Maths Chapter 4 Exercise 4.13. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>\u00a0Class 12 Exam, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-413\"><\/span>FAQs on RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13<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-1629885891506\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-413\"><\/span>How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 4 questions in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629886135983\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-413-for-free\"><\/span>Is RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.13 for free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, You can get RD Sharma Solutions Class 12 Maths Chapter 4 Exercise 4.13 for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629886201248\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-solutions-class-12-chapter-4-exercise-413-free-pdf\"><\/span>Where can I download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Solutions Class 12 Chapter 4 Exercise 4.13\u00a0in PDF are avaialble here. Students can refer to it and download it using the provided links. There are four primary questions in this exercise. All concepts addressed in this exercise are covered in RD Sharma Solutions for Class 12. With stepwise explanations, RD Sharma Solutions for &#8230; <a title=\"RD Sharma Class 12 Solutions Chapter 4 Inverse Trigonometric Functions Ex 4.13 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-13\/\" aria-label=\"More on RD Sharma Class 12 Solutions Chapter 4 Inverse Trigonometric Functions Ex 4.13 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":119112,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3429,73223,73664,4388,76747],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/119091"}],"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\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=119091"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/119091\/revisions"}],"predecessor-version":[{"id":119317,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/119091\/revisions\/119317"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/119112"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=119091"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=119091"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=119091"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}