{"id":285,"date":"2021-02-01T16:34:33","date_gmt":"2021-02-01T11:04:33","guid":{"rendered":"https:\/\/wordpress-505192-1602719.cloudwaysapps.com\/?p=285"},"modified":"2021-02-01T17:01:31","modified_gmt":"2021-02-01T11:31:31","slug":"samacheer-kalvi-10th-maths-chapter-6-ex-6-1","status":"publish","type":"post","link":"https:\/\/samacheerguru.com\/samacheer-kalvi-10th-maths-chapter-6-ex-6-1\/","title":{"rendered":"Samacheer Kalvi 10th Maths Solutions Chapter 6 Trigonometry Ex 6.1"},"content":{"rendered":"

You can Download Samacheer Kalvi 10th Maths Book Solutions<\/a> Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.<\/p>\n

Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 6 Trigonometry Ex 6.1<\/h2>\n

10th Maths Exercise 6.1 Samacheer Kalvi Question 1.
\nProve the following identities.
\n(i) cot \u03b8 + tan \u03b8 = sec \u03b8 cosec \u03b8
\n(ii) tan4<\/sup>\u03b8 + tan2<\/sup>\u03b8 = sec4<\/sup>\u03b8 – sec2<\/sup>\u03b8
\nSolution:
\n\"10th<\/p>\n

10th Maths Trigonometry Exercise 6.1 Question 2.
\nProve the following identities
\n\"10th
\nSolution:
\n\"6.1
\n\"Class<\/p>\n

Ex 6.1 Class 10 Samacheer Question 3.
\nProve the following identities
\n\"10th
\nSolution:
\n\"Exercise
\n\"10th<\/p>\n

10th Trigonometry Exercise 6.1 Question 4.
\nProve the following identities
\n(i) sec6<\/sup>\u03b8 = tan6<\/sup>\u03b8 + 3tan2<\/sup>\u03b8 sec2<\/sup>\u03b8 + 1
\n(ii) (sin\u03b8 + sec\u03b8)2<\/sup> + (cos\u03b8 + cosec\u03b8)2<\/sup>
\n= 1 + (sec\u03b8 + cosec\u03b8)2<\/sup>
\n(i) L.H.S = sec6<\/sup>\u03b8 = (sec2<\/sup>\u03b8)3<\/sup> = (1 + tan2<\/sup>\u03b8 )3<\/sup> = (tan2<\/sup>\u03b8 + 1)3<\/sup>
\n(a + b)3<\/sup> = a3<\/sup> + 3a2<\/sup>b + 3ab2<\/sup> + b3<\/sup>
\n= (tan2<\/sup>\u03b8)3<\/sup> + 3(tan2<\/sup>\u03b8)2<\/sup> \u00d7 1 + 3 \u00d7 tan2<\/sup>\u03b8 \u00d7 12<\/sup> + 1
\n= tan6<\/sup>\u03b8 + 3tan2<\/sup>\u03b8 \u00d7 (sec2<\/sup>\u03b8 – 1) + 3tan2<\/sup>\u03b8 + 1
\n= tan6<\/sup>\u03b8 + 3tan2<\/sup>\u03b8sec2<\/sup>\u03b8 – 3tan2<\/sup>\u03b8 + 3tan2<\/sup>\u03b8 +1
\n= tan6<\/sup>\u03b8 + 3tan2<\/sup>\u03b8 sec2<\/sup>\u03b8 + 1 = R.H.S<\/p>\n

(ii) L.H.S = (sin\u03b8 + sec\u03b8 )2<\/sup> + (cos\u03b8 + cosec\u03b8)2<\/sup>
\n= sin2<\/sup>\u03b8 + 2sin\u03b8 sec\u03b8 + sec2<\/sup>\u03b8 + cos2<\/sup>\u03b8 + 2cos\u03b8 cosec\u03b8+ cosec2<\/sup>\u03b8
\n\"Class<\/p>\n

10th Maths Exercise 6.1 Question 5.
\nProve the following identities
\n\"Chapter
\nSolution:
\n\"Ch
\n\"Samacheer
\n\"Class<\/p>\n

Exercise 6.1 Class 10 Samacheer Kalvi Question 6.
\nProve the following identities
\n\"Trigonometry
\nSolution:
\n\"Class
\n\"Class
\n\"Chapter<\/p>\n

10th Maths Exercise 6.1 In Tamil Question 7.
\n\"Chapter
\nSolution:
\n\"Solution
\n\"Class<\/p>\n

10th Maths 6.1 Question 8.
\n\"Ch
\nSolution:
\n(i) LHS:
\n\"Class
\n\"Class
\n\"Samacheer
\n\"Tn<\/p>\n

6.1 Trigonometry Answers Question 9.
\n(i) If sin\u03b8 + cos\u03b8 = p and sec\u03b8 + cosec\u03b8 = q then prove that q(p2<\/sup> – 1) = 2p
\n(ii) If sin\u03b8(1 + sin2<\/sup>\u03b8) = cos2<\/sup>\u03b8, then prove that cos6<\/sup>\u03b8 – 4cos4<\/sup>\u03b8 + 8cos2<\/sup>\u03b8 = 4
\nSolution:
\n\"Class
\n(ii) Given sin\u03b8(1 + sin2<\/sup>\u03b8) = cos2<\/sup>\u03b8
\nSustitute sin2<\/sup>\u03b8 = 1 – co2<\/sup>\u03b8 and take cos \u03b8 = c
\nsquaring (1) on bothsides we get
\nsin2<\/sup>\u03b8(1 + sin2<\/sup>\u03b8)2 <\/sup>= cos4<\/sup>\u03b8
\n(1 – c2<\/sup>)(1 + 1 – c2<\/sup>)\u00a0<\/sup>= c4
\n<\/sup>(1 – c2<\/sup>)(2 – c2<\/sup>)2 <\/sup>= c4<\/sup>
\n(1 – c2<\/sup>)(4 + c4<\/sup>– 4c2<\/sup>) = c4<\/sup>
\n4 + c4<\/sup>– 4c2 <\/sup>– 4c2<\/sup> – c6<\/sup> + 4c4<\/sup> =\u00a0c4
\n<\/sup>\u00a0-c6 +<\/sup>\u00a04c4<\/sup> – 8c2<\/sup> = -4
\nc6 <\/sup>– 4c4<\/sup> + 8c2<\/sup> = -4
\nie cos 6\u03b8 – 4cos 4\u03b8 + 8cos2<\/sup>\u03b8 = 4 = RHS
\n\u2234 Hence proved<\/p>\n

Question 10.
\n\"10th
\nSolution:
\n\"Chapter<\/p>\n","protected":false},"excerpt":{"rendered":"

You can Download Samacheer Kalvi 10th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations. Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 6 Trigonometry Ex 6.1 10th Maths Exercise 6.1 Samacheer Kalvi Question 1. Prove the following identities. (i) cot \u03b8 + […]<\/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":[2],"tags":[],"blocksy_meta":"","jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts\/285"}],"collection":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/comments?post=285"}],"version-history":[{"count":0,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts\/285\/revisions"}],"wp:attachment":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/media?parent=285"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/categories?post=285"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/tags?post=285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}