The value of is

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The value of cos⁡−1(cos⁡5π3)+sin⁡−1(sin⁡5π3)\cos^{-1}\left(\cos\frac{5\pi}{3}\right) + \sin^{-1}\left(\sin\frac{5\pi}{3}\right) is (a) 0 (b) π2\frac{\pi}{2} (c) 2π3\frac{2\pi}{3} (d) 10π3\frac{10\pi}{3}

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