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Example 4 - If tan A = 1, then verify 2 sin A cos A = 1 - Proving

Example 4 - Chapter 8 Class 10 Introduction to Trignometry - Part 2
Example 4 - Chapter 8 Class 10 Introduction to Trignometry - Part 3

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Example 4 In a right triangle ABC, right-angled at B, if tan A = 1, then verify that 2 sin A cos A = 1. Finding AC by pythagoras theorem (Hypotenuse)2 = (Height)2 + (Base)2 AC2 = AB2 + BC2 Putting AB = BC = k AC2 = k2 + k2 AC2 = 2k2 AC = √2𝑘2 AC = k √2 We have to find 2 sin A cos A Substituting the value of sin A and cos A = 2 ×1/√2×1/√2 = 2/(√2 × √2) = 2/(√2 )^2 = 2/2 = 1

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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.