Evaluate the following:

MATHEMATICS · Multi-part · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Evaluate the following: (i) sin⁡−1(sin⁡π4)\sin^{-1}\left(\sin\frac{\pi}{4}\right) (ii) cos⁡−1(cos⁡2π3)\cos^{-1}\left(\cos\frac{2\pi}{3}\right) (iii) tan⁡−1(tan⁡π3)\tan^{-1}\left(\tan\frac{\pi}{3}\right) (iv) sin⁡−1(sin⁡2π3)\sin^{-1}\left(\sin\frac{2\pi}{3}\right) (v) cos⁡−1(cos⁡7π6)\cos^{-1}\left(\cos\frac{7\pi}{6}\right) (vi) tan⁡−1(tan⁡2π3)\tan^{-1}\left(\tan\frac{2\pi}{3}\right)

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