Determine the principal value of .

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

Problem

Determine the principal value of cos⁡−1[sin⁡(−5π6)]\cos^{-1}\left[\sin\left(-\dfrac{5\pi}{6}\right)\right]. (a) π3\dfrac{\pi}{3} (b) 2π3\dfrac{2\pi}{3} (c) π6\dfrac{\pi}{6} (d) 4π3\dfrac{4\pi}{3}

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