The set of values of

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

Problem

The set of values of xx, satisfying the equation tan⁡2(sin⁡−1x)>1\tan^2(\sin^{-1}x) > 1 is (1) [−1,1][-1, 1] (2) [−22,22]\left[-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right] (3) (−1,1)−[−22,22](-1, 1) - \left[-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right] (4) [−1,1]−(−22,22)[-1, 1] - \left(-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)

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