If $\operatorname{Tanh}^{-1} \mathrm{x}=\operatorname{Coth}^{-1} \mathrm{y}=\log \sqrt{5}$, then $\operatorname{Tan}^{-1}(\mathrm{xy})=$

• Correct answer
  A

  $\frac{\pi}{4}$
• B

  $\frac{\pi}{3}$
• C

  $\frac{\pi}{6}$
• D

  $\frac{3 \pi}{4}$

Hence, the correct answer is option: 'A'.