$\cot ^{-1}\left(\frac{1}{\sqrt{x^2-1}}\right)=$ . . . . . . where,$x>1$.
- A$\sec ^{-1} x$
- B$\sin ^{-1} x$
- C$\operatorname{cosec}^{-1} x$
- D$\cos ^{-1} x$
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