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  4. cos-1( cos x)=x is satisfied by

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Q. $\cos^{-1}(\cos\,x)=x$ is satisfied by

Inverse Trigonometric Functions

Solution:

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