Question
Find the exact value of the expression, if it is defined.$\tan ^{-1}\left(2 \sin \frac{\pi}{3}\right)$
Step 1
We know that $\frac{\pi}{3}$ is equivalent to 60 degrees. In a 30-60-90 triangle, the sine of 60 degrees is $\frac{\sqrt{3}}{2}$. So, $\sin \frac{\pi}{3} = \frac{\sqrt{3}}{2}$. Show more…
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