{"id":118574,"date":"2021-08-24T20:07:59","date_gmt":"2021-08-24T14:37:59","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=118574"},"modified":"2021-08-25T17:16:53","modified_gmt":"2021-08-25T11:46:53","slug":"rd-sharma-solutions-class-12-chapter-4-exercise-4-6","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-6\/","title":{"rendered":"RD Sharma Solutions For Class 12 Maths Exercise 4.6 Chapter 4 (Updated for 2021-22)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-118749\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Chapter-4-Exercise-4.6.png\" alt=\"RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Chapter-4-Exercise-4.6.png 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-Sharma-Solutions-Class-12-Chapter-4-Exercise-4.6-768x432.png 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6:\u00a0<\/strong>Students can utilise the solutions PDF to help them comprehend the various options for obtaining answers while addressing exercise wise questions. Subject matter experts create the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions\/\"><strong>RD Sharma Solutions<\/strong><\/a> depending on the students&#8217; comprehension ability. It helps students enhance their logical thinking skills, which are important for exams. This exercise is entirely focused on the cotangent function&#8217;s inverse.<\/p>\n<p>Students who want to do well on the exam can utilise <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-maths-chapter-4\/\"><strong>RD Sharma Solutions Class 12 Maths Chapter 4 Inverse Trigonometric Functions<\/strong><\/a> Exercise 4.6 PDF as a study material to help them prepare.<\/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-69e7b7862334e\" 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-69e7b7862334e\"><\/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-4-6\/#download-rd-sharma-solutions-class-12-chapter-4-exercise-46-free-pdf\" title=\"Download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6 Free PDF\">Download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6 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-4-6\/#access-answers-to-maths-rd-sharma-solutions-for-class-12-chapter-4-%e2%80%93-inverse-trigonometric-functions-exercise-46-important-questions-with-solution\" title=\"Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions Exercise 4.6 Important Questions With Solution\">Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions Exercise 4.6 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-4-6\/#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-4-6\/#faqs-on-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-46\" title=\"FAQs on RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6\">FAQs on RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6<\/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-4-6\/#how-many-questions-are-there-in-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-46\" title=\"How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6?\">How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6?<\/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-4-6\/#is-rd-sharma-solutions-for-class-12-maths-chapter-4-exercise-46-for-free\" title=\"Is RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6 for free?\">Is RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6 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-4-6\/#where-can-i-download-rd-sharma-solutions-class-12-chapter-4-exercise-46-free-pdf\" title=\"Where can I download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6 free PDF?\">Where can I download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6 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-46-free-pdf\"><\/span>Download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6 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_4.6.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/08\/RD-_Sharma-_Class_12_Chapter_04_4.6.pdf\">RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6<\/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-46-important-questions-with-solution\"><\/span>Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 \u2013 Inverse Trigonometric Functions Exercise 4.6 Important Questions With Solution<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>1. Find the principal values of each of the following:<\/strong><\/p>\n<p><strong>(i) cot<sup>-1<\/sup>(-\u221a3)<\/strong><\/p>\n<p><strong>(ii) Cot<sup>-1<\/sup>(\u221a3)<\/strong><\/p>\n<p><strong>(iii) cot<sup>-1<\/sup>(-1\/\u221a3)<\/strong><\/p>\n<p><strong>(iv) cot<sup>-1<\/sup>(tan 3\u03c0\/4)<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>(i) Given cot<sup>-1<\/sup>(-\u221a3)<\/p>\n<p>Let y = cot<sup>-1<\/sup>(-\u221a3)<\/p>\n<p>\u2013 Cot (\u03c0\/6) = \u221a3<\/p>\n<p>= Cot (\u03c0 \u2013 \u03c0\/6)<\/p>\n<p>= cot (5\u03c0\/6)<\/p>\n<p>The range of principal value of cot<sup>-1<\/sup>\u00a0is (0, \u03c0) and cot (5 \u03c0\/6) = \u2013 \u221a3<\/p>\n<p>Thus, the principal value of cot<sup>-1<\/sup>\u00a0(- \u221a3) is 5\u03c0\/6<\/p>\n<p>(ii) Given Cot<sup>-1<\/sup>(\u221a3)<\/p>\n<p>Let y = cot<sup>-1<\/sup>(\u221a3)<\/p>\n<p>Cot (\u03c0\/6) = \u221a3<\/p>\n<p>The range of principal value of cot<sup>-1<\/sup>\u00a0is (0, \u03c0) and<\/p>\n<p>Thus, the principal value of cot<sup>-1<\/sup>\u00a0(\u221a3) is \u03c0\/6<\/p>\n<p>(iii) Given cot<sup>-1<\/sup>(-1\/\u221a3)<\/p>\n<p>Let y = cot<sup>-1<\/sup>(-1\/\u221a3)<\/p>\n<p>Cot y = (-1\/\u221a3)<\/p>\n<p>\u2013 Cot (\u03c0\/3) = 1\/\u221a3<\/p>\n<p>= Cot (\u03c0 \u2013 \u03c0\/3)<\/p>\n<p>= cot (2\u03c0\/3)<\/p>\n<p>The range of principal value of cot<sup>-1<\/sup>(0, \u03c0) and cot (2\u03c0\/3) = \u2013 1\/\u221a3<\/p>\n<p>Therefore the principal value of cot<sup>-1<\/sup>(-1\/\u221a3) is 2\u03c0\/3<\/p>\n<p>(iv) Given cot<sup>-1<\/sup>(tan 3\u03c0\/4)<\/p>\n<p>But we know that tan 3\u03c0\/4 = -1<\/p>\n<p>By substituting this value in cot<sup>-1<\/sup>(tan 3\u03c0\/4) we get<\/p>\n<p>Cot<sup>-1<\/sup>(-1)<\/p>\n<p>Now, let y = cot<sup>-1<\/sup>(-1)<\/p>\n<p>Cot y = (-1)<\/p>\n<p>\u2013 Cot (\u03c0\/4) = 1<\/p>\n<p>= Cot (\u03c0 \u2013 \u03c0\/4)<\/p>\n<p>= cot (3\u03c0\/4)<\/p>\n<p>The range of principal value of cot<sup>-1<\/sup>(0, \u03c0) and cot (3\u03c0\/4) = \u2013 1<\/p>\n<p>Therefore the principal value of cot<sup>-1<\/sup>(tan 3\u03c0\/4) is 3\u03c0\/4<\/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-4-7\/\">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-4-13\/\">RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.13<\/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-class-12-solutions\/\"><strong>RD Sharma Solutions for Class 12 Maths Chapter 4<\/strong><\/a> Exercise 4.6. 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-46\"><\/span>FAQs on RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6<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-1629812409119\" 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-46\"><\/span>How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 9 questions in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629812819157\" 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-46-for-free\"><\/span>Is RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.6 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 4.6 for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1629813022755\" 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-46-free-pdf\"><\/span>Where can I download RD Sharma Solutions Class 12 Chapter 4 Exercise 4.6 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 4.6 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 4.6:\u00a0Students can utilise the solutions PDF to help them comprehend the various options for obtaining answers while addressing exercise wise questions. Subject matter experts create the RD Sharma Solutions depending on the students&#8217; comprehension ability. It helps students enhance their logical thinking skills, which are important for &#8230; <a title=\"RD Sharma Solutions For Class 12 Maths Exercise 4.6 Chapter 4 (Updated for 2021-22)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-12-chapter-4-exercise-4-6\/\" aria-label=\"More on RD Sharma Solutions For Class 12 Maths Exercise 4.6 Chapter 4 (Updated for 2021-22)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":118749,"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],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/118574"}],"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=118574"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/118574\/revisions"}],"predecessor-version":[{"id":119332,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/118574\/revisions\/119332"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/118749"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=118574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=118574"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=118574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}