Ex 2.2,1 - Chapter 2 Class 12 Inverse Trigonometric Functions

Last updated at May 12, 2021 by Teachoo

Ex 2.2, 1 - 3 sin-1 x = sin-1 (3x - 4x3) - Chapter 2 Inverse

Ex 2.2,1 - Chapter 2 Class 12 Inverse Trigonometric Functions - Part 2

Transcript

Ex 2.2, 1 3sin-1 𝑥 = sin-1 (3𝑥 − 4𝑥^3), 𝑥∈ [−1/2,1/2] Solving R.H.S sin^(−1) (3𝑥 − 4𝑥^3) Putting x = sin 𝜃 = sin^(−1) (3 sin 𝜃 − 4 〖"sin" 〗^3𝜃) = sin^(−1) (sin 3𝜃 ) = 3𝜃 = 3 〖𝑠𝑖𝑛〗^(−1) x (sin 3x = 3 sin x − 4 sin^3x) Now, x = sin 𝜃 sin−1 x = 𝜃 = L.H.S Hence, proved.

Ex 2.2

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Chapter 2 Class 12 Inverse Trigonometric Functions

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