The value of ^ -1 ( 3 2 )- ^ -1 (1 2 ) is - Vidyadip

MCQ

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

A
$45^{\circ}$
B
$90^{\circ}$
C
$15^{\circ}$
✓
$30^{\circ}$

✓

Answer

Correct option: D.

$30^{\circ}$

(D) $\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)-\sin ^{-1}\left(\frac{1}{2}\right)=60^{\circ}-30^{\circ}=30^{\circ}$

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