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Question: cos<sup>–1</sup>\(\frac{1}{2}\) + 2 sin<sup>–1</sup>\(\frac{1}{2}\) is equal to-...

cos–112\frac{1}{2} + 2 sin–112\frac{1}{2} is equal to-

A

π4\frac{\pi}{4}

B

π6\frac{\pi}{6}

C

π3\frac{\pi}{3}

D

2π3\frac{2\pi}{3}

Answer

2π3\frac{2\pi}{3}

Explanation

Solution

cos–1 1/2 + 2 sin–1 1/2 = p/3 + 2p/6 = 2p/3