The simplest form of $\cot ^{-1}\left(\frac{1}{\sqrt{x^2-1}}\right), x>1$ is . . . . . . .
- A$-\operatorname{cosec}^{-1} x$
- B$-\sec ^{-1} x$
- C$\operatorname{cosec}^{-1} x$
- D$\sec ^{-1} x$
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