Q. $\cos^{- 1}{\left( \frac{1}{2} \right) + 2\sin^{- 1}\left( \frac{1}{2} \right)}$ is equal to
A) $\frac{\pi}{6}$
B) $\frac{\pi}{3}$
C) $\frac{2\pi}{3}$
D) $\frac{\pi}{4}$
Explanation
(c)
$\cos^{- 1}{\left( \frac{1}{2} \right) + 2\sin^{- 1}\left( \frac{1}{2} \right)}$
$= \frac{\pi}{3} + 2 \bullet \frac{\pi}{6} = \frac{\pi}{3} + \frac{\pi}{3} = \frac{2\pi}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.