CBSE

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

Problem

Range of f(x)=sin⁡−1x+tan⁡−1x+sec⁡−1xf(x) = \sin^{-1}x + \tan^{-1}x + \sec^{-1}x is (a) (π4,3π4)\left(\frac{\pi}{4}, \frac{3\pi}{4}\right) (b) [π4,3π4]\left[\frac{\pi}{4}, \frac{3\pi}{4}\right] (c) {π4,3π4}\left\{\frac{\pi}{4}, \frac{3\pi}{4}\right\} (d) (π4,3π4)\left(\frac{\pi}{4}, \frac{3\pi}{4}\right)

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