The value of 2 sin ^{-1}left(frac{1}{2}right) | vedclass

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(D) We know that $\sin ^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{6}$ since $\sin\left(\frac{\pi}{6}\right) = \frac{1}{2}$.We also know that $\cot ^{-

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

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(D) We know that $\sin ^{-1}\left(\frac{1}{2}ight) = \frac{\pi}{6}$ since $\sin\left(\frac{\pi}{6}ight) = \frac{1}{2}$.We also know that $\cot ^{-1}\left(\frac{1}{\sqrt{3}}ight) = \frac{\pi}{3}$ since $\cot\left(\frac{\pi}{3}ight) = \frac{1}{\sqrt{3}}$.Substituting these values into the expression:$2 \sin ^{-1}\left(\frac{1}{2}ight) + \cot ^{-1}\left(\frac{1}{\sqrt{3}}ight) = 2 	imes \left(\frac{\pi}{6}ight) + \frac{\pi}{3}$.$= \frac{\pi}{3} + \frac{\pi}{3} = \frac{2\pi}{3}$.

The value of $2 \sin ^{-1}\left(\frac{1}{2}\right)+\cot ^{-1}\left(\frac{1}{\sqrt{3}}\right)$ is

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