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Ex 8.1, 4 - Given 15 cot A = 8, find sin A and sec A. - Ex 8.1

Ex 8.1, 4 - Chapter 8 Class 10 Introduction to Trignometry - Part 2
Ex 8.1, 4 - Chapter 8 Class 10 Introduction to Trignometry - Part 3

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Transcript

Ex 8.1, 4 Given 15 cot A = 8, find sin A and sec A. 15 cot A = 8 cot A = 8/15 Now, tan A = 1/cot = 1/(8/15) = 15/8 Hence, tan A = 15/8 tan A = 15/8 ( )/( ) = 15/8 / =15/8 Let BC = 15x & AB = 8x Finding AC using Pythagoras theorem, (Hypotenuse)2 = (Height)2 + (Base)2 AC2 = AB2 + BC2 AC2 = (8x)2 + (15x)2 AC2 = 64 x2 + 225 x2 AC2 = 289 x2 AC = 17x Now, we need to find sin A & sec A

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.