{"id":126032,"date":"2023-09-12T18:21:00","date_gmt":"2023-09-12T12:51:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=126032"},"modified":"2023-11-30T11:16:40","modified_gmt":"2023-11-30T05:46:40","slug":"rd-sharma-class-10-solutions-chapter-5-exercise-5-2","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-5-exercise-5-2\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2 (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-126043\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-5-Exercise-5.2.jpg\" alt=\"RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-5-Exercise-5.2.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-5-Exercise-5.2-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2:&nbsp;<\/strong>This chapter&#8217;s Exercise 5.2 has problems based on trigonometric ratios of certain angles such as 0, 30, 45, 60, and 90. If you&#8217;re a student having trouble comprehending and solving such problems, Kopykitab has designed the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Class 10 Solutions<\/strong><\/a> particularly for you to improve your studying experience. Students can download the RD Sharma Solutions for Class 10 Maths Chapter 5 Trigonometric Ratios Exercise 5.2 PDF for further information on the questions in this exercise.<\/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-69d059d16b2eb\" 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 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Solutions Chapter 5 Exercise 5.2 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2 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-class-10-solutions-chapter-5-exercise-5-2\/#access-answers-to-rd-sharma-solutions-class-10-maths-chapter-5-exercise-52-important-question-with-answers\" title=\"Access answers to RD Sharma Solutions Class 10 Maths Chapter 5 Exercise 5.2- Important Question with Answers\">Access answers to RD Sharma Solutions Class 10 Maths Chapter 5 Exercise 5.2- Important Question with Answers<\/a><\/li><\/ul><\/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-class-10-solutions-chapter-5-exercise-5-2\/#faqs-on-rd-sharma-class-10-solutions-chapter-5-exercise-52\" title=\"FAQs on RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2\">FAQs on RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2<\/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-class-10-solutions-chapter-5-exercise-5-2\/#what-are-the-benefits-of-using-rd-sharma-class-10-maths-solutions-chapter-5-exercise-52\" title=\"What are the benefits of using RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.2?\">What are the benefits of using RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.2?<\/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-class-10-solutions-chapter-5-exercise-5-2\/#where-can-i-download-rd-sharma-class-10-maths-solutions-chapter-5-exercise-52-free-pdf\" title=\"Where can I download RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.2 free PDF?\">Where can I download RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.2 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-class-10-solutions-chapter-5-exercise-5-2\/#is-it-important-to-study-all-of-the-concepts-included-in-rd-sharma-class-10-solutions-chapter-5-exercise-52\" title=\"Is it important to study all of the concepts included in RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2?\">Is it important to study all of the concepts included in RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-5-exercise-52-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/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\/09\/RD-Sharma-Solution-Class-10-Chapter-5-Exercise-5.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-5-Exercise-5.2.pdf\">RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2<\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-rd-sharma-solutions-class-10-maths-chapter-5-exercise-52-important-question-with-answers\"><\/span>Access answers to RD Sharma Solutions Class 10 Maths Chapter 5 Exercise 5.2- Important Question with Answers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Evaluate each of the following (1-19):<br>Question 1.<br>sin45\u00b0 sin30\u00b0 + cos45\u00b0 cos30\u00b0.<br>Solution:<br>sin 45\u00b0 sin 30\u00b0 + cos 45\u00b0 cos 30\u00b0<br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/41851185985_f026728510_o.png\" alt=\"RD Sharma Class 10 Chapter 5 Trigonometric Ratios \" width=\"375\" height=\"150\"><\/p>\n<p>Question 2.<br>sin60\u00b0 cos30\u00b0 + cos60\u00b0 sin30\u00b0.<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/891\/41851185935_42f155a8c2_o.png\" alt=\"Trigonometric Ratios Class 10 RD Sharma \" width=\"317\" height=\"175\"><\/p>\n<p>Question 3.<br>cos60\u00b0 cos45\u00b0 \u2013 sin60\u00b0 sin45\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1723\/41851185885_d6484a9d5e_o.png\" alt=\"RD Sharma Class 10 Solutions Trigonometric Ratios \" width=\"362\" height=\"196\"><\/p>\n<p>Question 4.<br>sin<sup>2<\/sup>30\u00b0 + sin<sup>2<\/sup>45\u00b0 + sin<sup>2<\/sup>60\u00b0 + sin<sup>2<\/sup>290\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1750\/41851185755_1e318ebb5a_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios \" width=\"321\" height=\"266\"><\/p>\n<p>Question 5.<br>cos<sup>2<\/sup>30\u00b0 + cos<sup>2<\/sup>45\u00b0 + cos<sup>2<\/sup>60\u00b0 + cos<sup>2<\/sup>90\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1759\/41851185725_1f50cc86d9_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 5 Trigonometric Ratios \" width=\"355\" height=\"122\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1757\/41851185685_b0646c8786_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 5 Trigonometric Ratios \" width=\"200\" height=\"130\"><\/p>\n<p>Question 6.<br>tan<sup>2<\/sup>30\u00b0 + tan<sup>2<\/sup>60\u00b0 + tan<sup>2<\/sup>45\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1747\/42751610691_17bf33b01a_o.png\" alt=\"Learncbse.In Class 10 Chapter 5 Trigonometric Ratios \" width=\"360\" height=\"185\"><\/p>\n<p>Question 7.<br>2sin<sup>2<\/sup>30\u00b0 \u2013 3cos<sup>2<\/sup>45\u00b0 + tan<sup>2<\/sup>60\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1741\/42751610421_61c45f5351_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 5 Trigonometric Ratios \" width=\"272\" height=\"333\"><\/p>\n<p>Question 8.<br>sin<sup>2<\/sup>30\u00b0cos<sup>2<\/sup>4S\u00b0 + 4tan<sup>2<\/sup>30\u00b0 +&nbsp;12&nbsp;sin<sup>2<\/sup>90\u00b0 -2cos<sup>2<\/sup>90\u00b0 +&nbsp;124&nbsp;cos20\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1760\/42751610331_8f14a86df0_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 5 Trigonometric Ratios \" width=\"387\" height=\"216\"><br><img src=\"https:\/\/farm1.staticflickr.com\/892\/42751610161_ac24cbe5ca_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 5 Trigonometric Ratios \" width=\"379\" height=\"290\"><\/p>\n<p>Question 9.<br>4 (sin<sup>4<\/sup>&nbsp;60\u00b0 + cos<sup>4<\/sup>&nbsp;30\u00b0) \u2013 3 (tan<sup>2<\/sup>&nbsp;60\u00b0 \u2013 tan<sup>2<\/sup>&nbsp;45\u00b0) + 5cos<sup>2<\/sup>&nbsp;45\u00b0<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/887\/42751610061_672c465771_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios \" width=\"321\" height=\"443\"><\/p>\n<p>Question 10.<br>(cosecc<sup>2<\/sup>&nbsp;45\u00b0 sec<sup>2<\/sup>&nbsp;30\u00b0) (sin<sup>2<\/sup>&nbsp;30\u00b0 + 4cot<sup>2<\/sup>&nbsp;45\u00b0 \u2013 sec<sup>2<\/sup>&nbsp;60\u00b0).<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/896\/42751609761_e2ef97174a_o.png\" alt=\"RD Sharma Class 10 Book Pdf Free Download Chapter 5 Trigonometric Ratios \" width=\"321\" height=\"119\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1750\/42751609601_92c42c4d1d_o.png\" alt=\"Class 10 RD Sharma Chapter 5 Trigonometric Ratios \" width=\"282\" height=\"61\"><\/p>\n<p>Question 11.<br>cosec<sup>3<\/sup>&nbsp;30\u00b0 cos 60\u00b0 tan<sup>3<\/sup>&nbsp;45\u00b0 sin2 90\u00b0 sec<sup>2<\/sup>&nbsp;45\u00b0 cot 30\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1750\/42751609461_d4b65db880_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Chapter 5 Trigonometric Ratios \" width=\"320\" height=\"208\"><\/p>\n<p>Question 12.<br>cot<sup>2<\/sup>&nbsp;30\u00b0 \u2013 2cocs<sup>2<\/sup>&nbsp;60\u00b0 \u2013&nbsp;34sec2 45\u00b0 \u2013 4sec<sup>2<\/sup>&nbsp;30\u00b0.<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/880\/41851184835_21531cc25d_o.png\" alt=\"RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios \" width=\"322\" height=\"314\"><\/p>\n<p>Question 13.<br>(cos0\u00b0 + sin45\u00b0 + sin30\u00b0) (sin90\u00b0 \u2013 cos45\u00b0 + cos60\u00b0)<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1747\/41851184635_7955c10cc1_o.png\" alt=\"RD Sharma Class 10 Textbook PDF Chapter 5 Trigonometric Ratios \" width=\"316\" height=\"118\"><br><img src=\"https:\/\/farm1.staticflickr.com\/892\/41851184585_acd75b321f_o.png\" alt=\"Maths RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios \" width=\"315\" height=\"149\"><\/p>\n<p>Question 14.<br><img src=\"https:\/\/farm2.staticflickr.com\/1731\/40940682040_5e2c65b98d_o.png\" alt=\"10th Maths Solution Book Pdf Chapter 5 Trigonometric Ratios \" width=\"171\" height=\"55\"><br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1748\/41851184435_315eff9cf2_o.png\" alt=\"RD Sharma 10 Chapter 5 Trigonometric Ratios \" width=\"236\" height=\"244\"><\/p>\n<p>Question 15.<br><img src=\"https:\/\/farm2.staticflickr.com\/1753\/40940681850_8bcc3e4691_o.png\" alt=\"RD Sharma 10 Chapter 5 Trigonometric Ratios \" width=\"239\" height=\"55\"><br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1759\/41851184375_5c487fc0ea_o.png\" alt=\"RD Sharma 10 Chapter 5 Trigonometric Ratios \" width=\"236\" height=\"358\"><\/p>\n<p>Question 16.<br>4 (sin<sup>4<\/sup>&nbsp;30\u00b0 + cos<sup>2<\/sup>&nbsp;60\u00b0) \u2013 3 (cos<sup>2<\/sup>&nbsp;45\u00b0 \u2013 sin<sup>2<\/sup>&nbsp;90\u00b0) \u2013 sin<sup>2<\/sup>&nbsp;60\u00b0<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1730\/41851184265_3b65140550_o.png\" alt=\"RD Sharma Class 10 Book Pdf Chapter 5 Trigonometric Ratios \" width=\"331\" height=\"391\"><\/p>\n<p>Question 17.<br><img src=\"https:\/\/farm1.staticflickr.com\/875\/40940681730_73dd00cf7e_o.png\" alt=\"Solution Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios \" width=\"295\" height=\"57\"><br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1750\/41851184085_82e668f7d8_o.png\" alt=\"RD Sharma 10 Solutions Chapter 5 Trigonometric Ratios \" width=\"298\" height=\"302\"><\/p>\n<p>Question 18.<br><img src=\"https:\/\/farm2.staticflickr.com\/1731\/40940681610_e4665fe98b_o.png\" alt=\"RD Sharma Maths Book For Class 10 Solution Chapter 5 Trigonometric Ratios \" width=\"289\" height=\"52\"><br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1758\/41851183955_5c51332288_o.png\" alt=\"RD Sharma Class 10 Maths Chapter 5 Trigonometric Ratios \" width=\"289\" height=\"57\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1732\/41851183835_cf49bc906a_o.png\" alt=\"RD Sharma Class 10 Maths Chapter 5 Trigonometric Ratios \" width=\"283\" height=\"307\"><\/p>\n<p>Question 19.<br><img src=\"https:\/\/farm2.staticflickr.com\/1747\/40940681550_fdf2ee7926_o.png\" alt=\"RD Sharma Mathematics Class 10 Pdf Download Free Chapter 5 Trigonometric Ratios \" width=\"241\" height=\"56\"><br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/875\/41851183775_63e56ee56e_o.png\" alt=\"Answers Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios \" width=\"239\" height=\"178\"><\/p>\n<p>Find the value of x in each of the following : (20-25)<\/p>\n<p>Question 20.<br>2sin 3x = \u221a3<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1753\/41851183685_a1ca1c04d3_o.png\" alt=\"Class 10 RD Sharma Pdf Chapter 5 Trigonometric Ratios width=\" height=\"227\"><\/p>\n<p>Question 21.<br>2sin&nbsp;x2&nbsp;= 1<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1737\/42751607681_68fd88dee6_o.png\" alt=\"RD Sharma Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios \" width=\"340\" height=\"226\"><\/p>\n<p>Question 22.<br>\u221a3 sin x=cos x<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1739\/41851183615_c6f97d4ab5_o.png\" alt=\"Answers Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios \" width=\"338\" height=\"177\"><\/p>\n<p>Question 23.<br>tan x = sin 45\u00b0 cos 45\u00b0 + sin 30\u00b0<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1736\/42751606881_0ae3098fb9_o.png\" alt=\"RD Sharma Class 10 Maths Chapter 5 Trigonometric Ratios \" width=\"328\" height=\"216\"><\/p>\n<p>Question 24.<br>\u221a3 tan 2x = cos 60\u00b0 +sin 45\u00b0 cos 45\u00b0<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1729\/42751606781_eb87912e2a_o.png\" alt=\"RD Sharma 10 Solutions Chapter 5 Trigonometric Ratios \" width=\"347\" height=\"156\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1722\/42751606531_1b38257286_o.png\" alt=\"RD Sharma Class 10 Book Pdf Chapter 5 Trigonometric Ratios \" width=\"351\" height=\"138\"><\/p>\n<p>Question 25.<br>cos 2x = cos 60\u00b0 cos 30\u00b0 + sin 60\u00b0 sin 30\u00b0<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1755\/42751606481_e3c76b3144_o.png\" alt=\"10th Maths Solution Book Pdf Chapter 5 Trigonometric Ratios \" width=\"341\" height=\"321\"><\/p>\n<p>Question 26.<br>If \u03b8 = 30\u00b0, verify that :<br><img src=\"https:\/\/farm2.staticflickr.com\/1748\/42751602481_1808ef3825_o.png\" alt=\"RD Sharma Class 10 Textbook PDF Chapter 5 Trigonometric Ratios \" width=\"246\" height=\"233\"><br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/887\/42751606271_f61a7fe90b_o.png\" alt=\"RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios \" width=\"297\" height=\"161\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1759\/40940686060_b98d6da284_o.png\" alt=\"Class 10 RD Sharma Chapter 5 Trigonometric Ratios \" width=\"374\" height=\"592\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1750\/40940685840_3e0d454351_o.png\" alt=\"RD Sharma Class 10 Book Pdf Free Download Chapter 5 Trigonometric Ratios \" width=\"380\" height=\"365\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1731\/40940685770_810269bf11_o.png\" alt=\"RD Sharma Class 10 Book Pdf Free Download Chapter 5 Trigonometric Ratios \" width=\"357\" height=\"298\"><\/p>\n<p>Question 27.<br>If A = B = 60\u00b0, verify that:<br>(i) cos (A \u2013 B) = cos A cos B + sin A sin B<br>(ii) sin (A \u2013 B) = sin A cos B \u2013 cos A sin B tan A \u2013 tan B<br>(iii) tan (A \u2013 B) =&nbsp;tanA\u2212tanB1+tanA\u2212tanB<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1752\/42751605891_3cf270af28_o.png\" alt=\"RD Sharma Class 10 Pdf Ebook Chapter 5 Trigonometric Ratios \" width=\"362\" height=\"527\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1741\/42751605801_d8c9e98412_o.png\" alt=\"RD Sharma Class 10 Pdf Free Download Full Book Chapter 5 Trigonometric Ratios \" width=\"227\" height=\"208\"><\/p>\n<p>Question 28.<br>If A = 30\u00b0 and B = 60\u00b0, verify that :<br>(i) sin (A + B) = sin A cos B + cos A sin B<br>(ii) cos (A + B) = cos A cos B \u2013 sin A sin B<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1738\/40940685240_c879d42858_o.png\" alt=\"Learncbse.In Class 10 Chapter 5 Trigonometric Ratios \" width=\"401\" height=\"479\"><\/p>\n<p>Question 29.<br>If sin (A + B) = 1 and cos (A,-B) = 1,0\u00b0 &lt; A + B &lt; 90\u00b0, A &gt; B find A and B.<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/887\/40940685060_778a3fb4d8_o.png\" alt=\"RD Sharma Class 10 Pdf Chapter 5 Trigonometric Ratios \" width=\"363\" height=\"123\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1755\/40940684820_5a469a0040_o.png\" alt=\"RD Sharma Class 10 Solutions Trigonometric Ratios \" width=\"344\" height=\"79\"><\/p>\n<p>Question 30.<br><img src=\"https:\/\/farm2.staticflickr.com\/1727\/42751602261_e669ccea59_o.png\" alt=\"RD Sharma Class 10 Chapter 5 Trigonometric Ratios \" width=\"325\" height=\"88\"><br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/896\/40940684760_be17777905_o.png\" alt=\"Trigonometric Ratios Class 10 RD Sharma \" width=\"352\" height=\"402\"><\/p>\n<p>Question 31.<br><img src=\"https:\/\/farm2.staticflickr.com\/1745\/40940681130_3ea30b5114_o.png\" alt=\"RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios \" width=\"320\" height=\"74\"><br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1760\/40940684430_b1a8b48323_o.png\" alt=\"RD Sharma Solutions Class 10 Chapter 5 Trigonometric Ratios \" width=\"340\" height=\"281\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1733\/40940684330_2a0e5dd07d_o.png\" alt=\"Class 10 RD Sharma Solutions Chapter 5 Trigonometric Ratios \" width=\"319\" height=\"188\"><\/p>\n<p>Question 32.<br>In an \u2206ABC right angle at B, \u2220A = \u2220C. Find the values of<br>(i) sin A cos C + cos A sin C<br>(ii) sin A sin B + cos A cos B<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/888\/40940684240_7f382291a6_o.png\" alt=\"RD Sharma Class 10 Solution Chapter 5 Trigonometric Ratios \" width=\"346\" height=\"644\"><\/p>\n<p>Question 33.<br>Find acute angles A and B, if sin (A + 2B)=3\u221a2&nbsp;and cos (A + 4B) = 0, A &gt; B.<br>Solution:<br><img src=\"https:\/\/farm1.staticflickr.com\/879\/40940684060_31c78ef75a_o.png\" alt=\"RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios \" width=\"355\" height=\"353\"><\/p>\n<p>Question 34.<br>In \u0394PQR, right-angled at Q, PQ = 3 cm and PR = 6 cm. Determine \u2220P and \u2220R.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1752\/42751604571_fccaac9e6a_o.png\" alt=\"Class 10 RD Sharma Chapter 5 Trigonometric Ratios \" width=\"344\" height=\"464\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1746\/42751604321_4ff176d03b_o.png\" alt=\"RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios \" width=\"333\" height=\"102\"><\/p>\n<p>Question 35.<br>If sin (A \u2013 B) = sin A cos B \u2013 cos A sin B and cos (A \u2013 B) = cos A cos B + sin A sin B, find the values of sin 15\u00b0 and cos 15\u00b0.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1751\/42751604291_5a6f2c50ba_o.png\" alt=\"Maths RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios \" width=\"364\" height=\"417\"><\/p>\n<p>Question 36.<br>In a right triangle, ABC is right-angled at \u2220C if \u2220B = 60\u00b0 and AB \u2013 15 units. Find the remaining angles and sides.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1744\/40940683360_35a98f7987_o.png\" alt=\"RD Sharma 10 Chapter 5 Trigonometric Ratios \" width=\"294\" height=\"280\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1754\/40940683180_61abbcc9cf_o.png\" alt=\"RD Sharma 10 Chapter 5 Trigonometric Ratios \" width=\"271\" height=\"385\"><\/p>\n<p>Question 37.<br>If \u0394ABC is a right triangle such that \u2220C = 90\u00b0, \u2220A = 45\u00b0 and BC = 7 units. Find \u2220B, AB, and AC.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1734\/40940683070_731ed32cb1_o.png\" alt=\"Solution Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios \" width=\"349\" height=\"514\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1722\/40940682790_befe490037_o.png\" alt=\"Solution Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios \" width=\"254\" height=\"58\"><\/p>\n<p>Question 38.<br>In a rectangle ABCD, AB = 20 cm, \u2220BAC = 60\u00b0, calculate side BC and diagonals AC and BD.<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1748\/40940682690_9023537a6f_o.png\" alt=\"RD Sharma Maths Book For Class 10 Solution Chapter 5 Trigonometric Ratios \" width=\"355\" height=\"614\"><\/p>\n<p>Question 39.<br>If A and B are acute angles such that<br><img src=\"https:\/\/farm1.staticflickr.com\/899\/42751602181_031973bfc4_o.png\" alt=\"RD Sharma Maths Book For Class 10 Solution Chapter 5 Trigonometric Ratios \" width=\"331\" height=\"104\"><br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1757\/40940682470_893d9e9263_o.png\" alt=\"RD Sharma Mathematics Class 10 Pdf Download Free Chapter 5 Trigonometric Ratios \" width=\"302\" height=\"57\"><br><img src=\"https:\/\/farm2.staticflickr.com\/1729\/42751603271_ef069d3a2f_o.png\" alt=\"Class 10 RD Sharma Pdf Chapter 5 Trigonometric Ratios \" width=\"308\" height=\"235\"><\/p>\n<p>Question 40.<br>Prove that (\u221a3 + 1) (3 \u2013 cot 30\u00b0) = tan<sup>3<\/sup>&nbsp;60\u00b0 \u2013 2sin 60\u00b0. [NCERT Exemplar]<br>Solution:<br><img src=\"https:\/\/farm2.staticflickr.com\/1748\/40940682310_792bf33953_o.png\" alt=\"RD Sharma Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios \" width=\"333\" height=\"414\"><\/p>\n<p>We have provided complete details of RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2. If you have any queries related to <a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener\"><strong>CBSE<\/strong><\/a>&nbsp;Class 10, feel free to ask us in the comment section below.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"faqs-on-rd-sharma-class-10-solutions-chapter-5-exercise-52\"><\/span>FAQs on RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2<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-1631191362048\" 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-class-10-maths-solutions-chapter-5-exercise-52\"><\/span>What are the benefits of using RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.2?<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 Class 10 Maths Solutions Chapter 5 Exercise 5.2 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-1631191470616\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-rd-sharma-class-10-maths-solutions-chapter-5-exercise-52-free-pdf\"><\/span>Where can I download RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.2 free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.2 free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631191564548\" 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-class-10-solutions-chapter-5-exercise-52\"><\/span>Is it important to study all of the concepts included in RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2?<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 Solutions for Class 10 Maths Chapter 5 Exercise 5.2 is required in order to achieve high scores on the Class 10 board exams. These solutions were created by subject matter specialists who compiled model questions that covered all of the textbook\u2019s exercise questions.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2:&nbsp;This chapter&#8217;s Exercise 5.2 has problems based on trigonometric ratios of certain angles such as 0, 30, 45, 60, and 90. If you&#8217;re a student having trouble comprehending and solving such problems, Kopykitab has designed the RD Sharma Class 10 Solutions particularly for you to improve your &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2 (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-5-exercise-5-2\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 5 Exercise 5.2 (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":126043,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3243,9206,73520,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126032"}],"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=126032"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126032\/revisions"}],"predecessor-version":[{"id":514517,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/126032\/revisions\/514517"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/126043"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=126032"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=126032"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=126032"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}