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Question
Write the value of cos \[\left( 2 \sin^{- 1} \frac{1}{2} \right)\]
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Solution
We have, cos \[\left( 2 \sin^{- 1} \frac{1}{2} \right)\]
= \[\cos\left( 2 \times \frac{\pi}{6} \right) = \cos\left( \frac{\pi}{3} \right) = \frac{1}{2}\]
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