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Question

Mathematics Question on Inverse Trigonometric Functions

cos1(cosx)=x\cos^{-1}(\cos\,x)=x is satisfied by

A

xRx\,\in R

B

x[0,π]x\,\in [0,\pi]

C

x[1,1]x\,\in [-1,1]

D

none of these

Answer

x[0,π]x\,\in [0,\pi]

Explanation

Solution

cos1(cosx)=xcos^{-1} \left(cos x\right) = x if 0xπ0\le x \le\pi i.e., if x[0,π]x\in\left[0, \pi\right]