Question

\(sin^{-1}⁡x\) is same as \((sin⁡x)^{-1}\).

(a) True

(b) False

I had been asked this question in a job interview.

The doubt is from Inverse Trigonometric Functions Basics topic in portion Inverse Trigonometric Functions of Mathematics – Class 12

Answer 1

Correct answer is (b) False

The explanation: The given statement is false. \(sin^{-1}⁡x\) is not same as \((sin⁡x)^{-1}\). \(sin^{-1}⁡x\) is an inverse trigonometric function whereas \((sin⁡x)^{-1}\) is just the reciprocal of sin⁡x i.e. \(sin⁡x=\frac{1}{sin⁡x}\).