If ^ -1 x- ^ -1 x= 6 , then x = - Vidyadip

MCQ

If $\sin^{-1}\text{x}-\cos^{-1}\text{x}=\frac{\pi}{6},$ then $x =$

A
$\frac{1}{2}$
✓
$\frac{\sqrt{3}}{2}$
C
$-\frac{1}{2}$
D
$-\frac{\sqrt{3}}{2}$

✓

Answer

Correct option: B.

$\frac{\sqrt{3}}{2}$

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