Write $\cot ^{-1}\left(\frac{1}{\sqrt{x^{2}-1}}\right), x>1$ in the simplest form.

  • A
    $\sec ^{-1} x$
  • B
    $cosec ^{-1} x$
  • C
    $\tan ^{-1} x$
  • D
    $\cot ^{-1} x$

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