Evaluate : [ 3 + ^ -1 (1 2 ) ] - Vidyadip

MCQ

Evaluate : $\sin \left[\frac{\pi}{3}+\sin ^{-1}\left(\frac{1}{2}\right)\right]$

A
$\sqrt{3} / 2$
B
$1 / 2$
C
$0$
✓
$1$

✓

Answer

Correct option: D.

$1$

$ \sin \left(\frac{\pi}{3}+\sin ^{-1}\left(\frac{1}{2}\right)\right)$
$=\sin \left(\frac{\pi}{3}+\frac{\pi}{6}\right)=\sin \frac{\pi}{2}=1$

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