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\(sin^{-1}⁡x\) is same as \((sin⁡x)^{-1}\).(a) True(b) FalseI 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» 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. \(sin⁡x=\frac{1}{sin⁡x}\).


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