Note

  1. \(sin^{-1}x\) should not be confused with \((sin x)^{-1}\). In fact \((sin x)^{-1} = \frac{1}{sin x}\) and similarly for other trigonometric functions.
  2. Whenever no branch of an inverse trigonometric functions is mentioned, we mean the principal value branch of that function.
  3. The value of an inverse trigonometric functions which lies in the range of principal branch is called the principal value of that inverse trigonometric functions.