Mathematics · JEE | INVERSE TRIGONOMETRIC FUNCTIONS

Consider the following statements: (A) \( \sin^{-1} x \) should not be confused with \( (\sin x)^{-1} \). (B) The value of an inverse trigonometric function which lies in the range of principal branch is called the principal value. (C) The domain of \( \tan^{-1} x \) is \( \mathbf{R} \). (D) \( \cot^{-1} x \) is not defined for negative real numbers. Which of the above statements are correct?

1. A
   (A), (B) and (C) only
2. B
   and (D) only
3. C
   (B), (C) and (D) only
4. D
   All of the above