Inverse Trigonometric Functions Question 65

Question: $ {{\cos }^{-1}}\frac{1}{2}+2{{\sin }^{-1}}\frac{1}{2} $ is equal to

[MP PET 1998; UPSEAT 2004]

Options:

A) $ \frac{\pi }{4} $

B) $ \frac{\pi }{6} $

C) $ \frac{\pi }{3} $

D) $ \frac{2\pi }{3} $

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Answer:

Correct Answer: D

Solution:

$ {{\cos }^{-1}}\frac{1}{2}+2{{\sin }^{-1}}\frac{1}{2}=\frac{\pi }{3}+\frac{2\pi }{6}=\frac{2\pi }{3} $ .