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Ex 3.3, 22 - Prove cot x cot 2x - cot 2x cot 3x - cot 3x cot x

Ex 3.3, 22 - Chapter 3 Class 11 Trigonometric Functions - Part 2

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Ex 3.3, 22 Prove that cot π‘₯ cot 2π‘₯ – cot 2π‘₯ cot 3π‘₯ – cot 3π‘₯ cot π‘₯ = 1 Taking L.H.S. cot x cot 2x – cot 2x cot 3x – cot 3x cot x = cot x cot 2x – cot 3x (cot 2x + cot x) = cot x cot 2x – cot (2x + x) (cot 2x + cot x) = cot x cot 2x – ((cot 2x cot x βˆ’ 1)/(cot x + cot 2x)) (cot 2x + cot x) = cot x cot 2x – (cot 2x cot x – 1) = cot x cot 2x – cot 2x cot x + 1 = 1 = R.H.S. Hence L.H.S = R.H.S Hence proved

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.