Question

Write the value of cos \[\left( 2 \sin^{- 1} \frac{1}{2} \right)\]

Answer 1

We have, cos \[\left( 2 \sin^{- 1} \frac{1}{2} \right)\]

= \[\cos\left( 2 \times \frac{\pi}{6} \right) = \cos\left( \frac{\pi}{3} \right) = \frac{1}{2}\]