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Example 13 - Prove that sec A (1 - sin A)(sec A + tan A) = 1 - Examples

Example 13 - Chapter 8 Class 10 Introduction to Trignometry - Part 2

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Example 13 Prove that sec A (1 sin A)(sec A + tan A) = 1. Solving L.H.S sec A (1 sin A) (sec A + tan A) We write everything in terms of sin A and cos A = 1/cos (1 sin A) (" " 1/cos +" " sin /cos ) = ((1 sin ) )/(cos ) (" " (1 + sin )/cos ) = ((1 sin ) (1+ sin ) )/(cos cos ) We know that (a b) (a + b) = a2 b2 = ((12 sin2 ) )/( cos 2 ) = ((1 sin2 ) )/( cos 2 ) = ( 2 )/(cos2 ) = 1 = R.H.S Thus, L.H.S = R.H.S Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.