The value of is equal to

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

Problem

The value of tan⁡−1(1)+cos⁡−1(−12)+sin⁡−1(−12)\tan^{-1}(1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(-\frac{1}{2}\right) is equal to (a) π4\frac{\pi}{4} (b) 5π2\frac{5\pi}{2} (c) 3π4\frac{3\pi}{4} (d) 13π12\frac{13\pi}{12}

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