{"id":645,"date":"2025-01-16T13:15:16","date_gmt":"2025-01-16T07:45:16","guid":{"rendered":"https:\/\/samacheerkalvi.guide\/?p=645"},"modified":"2025-01-17T10:16:57","modified_gmt":"2025-01-17T04:46:57","slug":"samacheer-kalvi-9th-maths-guide-chapter-6-ex-6-3","status":"publish","type":"post","link":"https:\/\/samacheerkalvi.guide\/samacheer-kalvi-9th-maths-guide-chapter-6-ex-6-3\/","title":{"rendered":"Samacheer Kalvi 9th Maths Guide Chapter 6 Trigonometry Ex 6.3"},"content":{"rendered":"

Students can download Maths Chapter 6 Trigonometry Ex 6.3 Questions and Answers, Notes, Samacheer Kalvi 9th Maths Guide<\/a> Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.<\/p>\n

Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.3<\/h2>\n

Question 1.
\nFind the value of the following:
\n\"Samacheer
\n(iii) tan 15\u00b0 tan 30\u00b0 tan 45\u00b0 tan 60\u00b0 tan 75\u00b0
\n\"Samacheer
\nSolution:
\n(i) cos 45\u00b0 = \\(\\frac{1}{\u221a2}\\)
\n\"Samacheer
\n= 1\u00b2 + 1\u00b2 – 2(\\(\\frac{1}{\u221a2}\\))\u00b2
\n= 1 + 1 – 2(\\(\\frac{1}{2}\\))
\n= 2 – 1
\n= 1<\/p>\n

\"Samacheer<\/p>\n

(ii) cos 60\u00b0 = \\(\\frac{1}{2}\\)
\n\"Samacheer
\n= 1 + 1 + 1 – 8(\\(\\frac{1}{2}\\))\u00b2
\n= 3 – 8 \u00d7 \\(\\frac{1}{4}\\)
\n= 3 – 2
\n= 1<\/p>\n

\"Samacheer<\/p>\n

(iii) tan 30\u00b0 = \\(\\frac{1}{\u221a3}\\), tan 45\u00b0 = 1, tan 60\u00b0 = \u221a3
\ntan 15\u00b0 . tan 30\u00b0. tan 45\u00b0 . tan 60\u00b0. tan 75\u00b0 = tan 15\u00b0 . \\(\\frac{1}{\u221a3}\\) . 1 . \u221a3 tan 75\u00b0
\n= tan 15\u00b0 \u00d7 tan 75\u00b0 \u00d7 \\(\\frac{1}{\u221a3}\\) \u00d7 1 \u00d7 \u221a3
\n= tan(90\u00b0 – 75\u00b0) \u00d7 \\(\\frac{1}{cot 75\u00b0}\\) \u00d7 1 [tan 90\u00b0 – \u03b8 = cot \u03b8]
\n= cot 75\u00b0 \u00d7 \\(\\frac{1}{cot 75\u00b0}\\) \u00d7 1
\n= 1<\/p>\n

\"Samacheer<\/p>\n

\"Samacheer
\n= 1 + 1
\n= 2<\/p>\n

\"Samacheer<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can download Maths Chapter 6 Trigonometry Ex 6.3 Questions and Answers, Notes, Samacheer Kalvi 9th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams. Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.3 Question …<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[3],"tags":[],"class_list":["post-645","post","type-post","status-publish","format-standard","hentry","category-class-9"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts\/645"}],"collection":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/comments?post=645"}],"version-history":[{"count":1,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts\/645\/revisions"}],"predecessor-version":[{"id":39859,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/posts\/645\/revisions\/39859"}],"wp:attachment":[{"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/media?parent=645"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/categories?post=645"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerkalvi.guide\/wp-json\/wp\/v2\/tags?post=645"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}