{"id":699,"date":"2023-11-08T07:17:39","date_gmt":"2023-11-08T01:47:39","guid":{"rendered":"https:\/\/wordpress-505192-1602719.cloudwaysapps.com\/?p=699"},"modified":"2023-11-10T15:38:27","modified_gmt":"2023-11-10T10:08:27","slug":"samacheer-kalvi-9th-maths-chapter-6-ex-6-5","status":"publish","type":"post","link":"https:\/\/samacheerkalviguru.com\/samacheer-kalvi-9th-maths-chapter-6-ex-6-5\/","title":{"rendered":"Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.5"},"content":{"rendered":"

You can Download Samacheer Kalvi 9th Maths Book Solutions<\/a>\u00a0Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.<\/p>\n

Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.5<\/h2>\n

Multiple Choice Questions :<\/p>\n

Question 1.
\nIf sin 30\u00b0 = x and cos 60\u00b0 = y, then x2<\/sup> + y2<\/sup> is
\n(1) \\(\\frac{1}{2}\\)
\n(2) 0
\n(3) sin 90\u00b0
\n(4) cos 90\u00b0
\nHint:
\n\"Samacheer
\nSolution:
\n(1) \\(\\frac{1}{2}\\)<\/p>\n

Question 2.
\nIf tan \u03b8 = cot 37\u00b0, then the value of \u03b8 is
\n(1) 37\u00b0
\n(2) 53\u00b0
\n(3) 90\u00b0
\n(4) 1\u00b0
\nHint:
\ntan \u03b8 = cot 37\u00b0
\ntan (90\u00b0 – 37\u00b0) = cot 37\u00b0
\n\u03b8 = 90\u00b0- 37\u00b0 = 53\u00b0
\nSolution:
\n(2) 53\u00b0<\/p>\n

Question 3.
\nThe value of tan 72\u00b0 tan 18\u00b0 is
\n(1) 0
\n(2) 1
\n(3) 18\u00b0
\n(4) 72\u00b0
\nHint:
\n\"Samacheer
\nSolution:
\n(2) 1<\/p>\n

\"Samacheer<\/p>\n

Question 4.
\nThe value of \\(\\frac{2 \\tan 30^{\\circ}}{1-\\tan ^{2} 30^{\\circ}}\\) is equal to
\n(1) cos 60\u00b0
\n(2) sin 60\u00b0
\n(3) tan 60\u00b0
\n(4) sin 30\u00b0
\nHint:
\n\"Samacheer
\nSolution:
\n(3) tan 60\u00b0<\/p>\n

Question 5.
\nIf 2 sin 2\u03b8 = \\(\\sqrt{3}\\), then the value of \u03b8 is
\n(1) 90\u00b0
\n(2) 30\u00b0
\n(3) 45\u00b0
\n(4) 60\u00b0
\nHint:
\n\"Samacheer
\nSolution:
\n(2) 30\u00b0<\/p>\n

Question 6.
\nThe value of 3 sin 70\u00b0 sec 20\u00b0 + 2 sin 49\u00b0 sec 51\u00b0 is
\n(1) 2
\n(2) 3
\n(3) 5
\n(4) 60\u00b0
\nHint:
\n\"Samacheer
\nSolution:
\n(3) 5
\n\"Samacheer
\nQuestion 7.
\nThe value of \\(\\frac{1-\\tan ^{2} 45^{\\circ}}{1+\\tan ^{2} 45^{\\circ}}\\) is
\n(1) 2
\n(2) 1
\n(3) 0
\n(4) \\(\\frac{1}{2}\\)
\nHint:
\n\"Samacheer
\nSolution:
\n(3) 0<\/p>\n

Question 8.
\nThe value of cosec (70\u00b0 + \u03b8) – sec(20\u00b0 – \u03b8) + tan (65\u00b0 + \u03b8) – cot(25\u00b0 – \u03b8) is
\n(1) 0
\n(2) 1
\n(3) 2
\n(4) 3
\nHint: cosec (70\u00b0 + \u03b8) – sec (20\u00b0 – \u03b8) + tan (65\u00b0 + \u03b8) – cot (25\u00b0 – \u03b8)
\n\"Samacheer
\nSolution:
\n(1) 0<\/p>\n

Question 9.
\nThe value of tan 1\u00b0tan 2\u00b0 tan 3\u00b0 … tan 89\u00b0 is
\n(1) 0
\n(2) 1
\n(3) 2
\n(4) \\(\\frac{\\sqrt{3}}{2}\\)
\nHint: tan (90\u00b0 – 89\u00b0) tan (90\u00b0 – 88\u00b0) …tan (90\u00b0 -46\u00b0) tan 45\u00b0 tan 46\u00b0… tan 88 tan 89\u00b0 = cot 89\u00b0 cot 88\u00b0… cot 46\u00b0 (1) tan 46\u00b0… tan 88\u00b0 tan 89\u00b0 = 1
\nSolution:
\n(2) 1<\/p>\n

Question 10.
\nGiven that sin \u03b1 = \\(\\frac{1}{2}\\) and cos \u03b2 = \\(\\frac{1}{2}\\) , then the value of \u03b1 + \u03b2 is
\n(1) 0\u00b0
\n(2) 90\u00b0
\n(3) 30\u00b0
\n(4) 60\u00b0
\nHint:
\n\"Samacheer
\nSolution:
\n(2) 90\u00b0
\n\"Samacheer<\/p>\n","protected":false},"excerpt":{"rendered":"

You can Download Samacheer Kalvi 9th Maths Book Solutions\u00a0Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations. Tamilnadu Samacheer Kalvi 9th Maths Solutions Chapter 6 Trigonometry Ex 6.5 Multiple Choice Questions : Question 1. If sin 30\u00b0 = x and cos 60\u00b0 = y, then …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","footnotes":""},"categories":[3],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/699"}],"collection":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/comments?post=699"}],"version-history":[{"count":1,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/699\/revisions"}],"predecessor-version":[{"id":59877,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/699\/revisions\/59877"}],"wp:attachment":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/media?parent=699"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/categories?post=699"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/tags?post=699"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}