$\operatorname{Tanh}^{-1}(\sin \theta)=$

• A

  $\operatorname{Sinh}^{-1}(\operatorname{cosec} \theta)$
• B

  $\operatorname{Sinh}^{-1}(\sec \theta)$
• C

  $\operatorname{Cosh}^{-1}(\operatorname{cosec} \theta)$
• Correct answer
  D

  $\operatorname{Cosh}^{-1}(\sec \theta)$

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