Ex 2.2, 2 - 3cos -1 x = cos-1 (4x3 - 3x) - Chapter 2 Class 12 - Formulae based

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  1. Chapter 2 Class 12 Inverse Trigonometric Functions
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Ex 2.2, 2 3cos-1 𝑥 = cos-1 (4 𝑥﷮3﷯− 3𝑥 ), 𝑥∈ 1﷮2﷯,1﷯ Taking R.H.S cos﷮−1﷯ (4 𝑥﷮3﷯− 3𝑥 ) Putting x = cos 𝜃 = cos﷮−1﷯ (4 (cos 𝜃 )﷮3﷯− 3cos 𝜃) = cos﷮−1﷯ (4 cos﷮3﷯𝜃 − 3cos 𝜃) = cos﷮−1﷯ (cos 3𝜃 ) = 3𝜃 = 3 cos﷮−1﷯ (x) = L.H.S Hence, proved.

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