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MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If 2sin⁡−1x=sin⁡−1(2x1−x2)2\sin^{-1}x=\sin^{-1}\left(2x\sqrt{1-x^2}\right), then x∈x\in (a) [−1,1][-1,1] (b) [−12,1]\left[-\frac{1}{\sqrt{2}},1\right] (c) [−12,12]\left[-\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right] (d) None of these

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