If $\sin ^{-1} x - \cos ^{-1} x = \frac{\pi}{6}$, then $x$ is equal to
- A$\frac{1}{2}$
- B$\frac{\sqrt{3}}{2}$
- C$-\frac{1}{2}$
- D$-\frac{\sqrt{3}}{2}$
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