The range of the function is:

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

Problem

The range of the function f(x)=sec⁡−1x+tan⁡−1xf(x)=\sec^{-1}x+\tan^{-1}x is: (1) (0,π)(0,\pi) (2) (−π2,3π2)\left(-\frac{\pi}{2},\frac{3\pi}{2}\right) (3) [0,3π4]\left[0,\frac{3\pi}{4}\right] (4) None of these

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