If $\operatorname{Sinh}^{-1} x=\operatorname{Cosh}^{-1} y=\log (1+\sqrt{2})$ then $\operatorname{Tan}^{-1}(x+y)=$

• Correct answer
  A

  $67 \frac{1}{2}^{\circ}$
• B

  $75^{\circ}$
• C

  $22 \frac{1}{2}^{\circ}$
• D

  $15^{\circ}$

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