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Explain solution for RD Sharma class class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 20 math

Answers (1)

Answer: 

\frac{1}{2}

Given:

\cos \left(2 \sin ^{-1} \frac{1}{2}\right)

Hint: Try to solve \sin  function.

Solution:

\begin{aligned} \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} \end{aligned}

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