The range of left|cos ^{-1} xright| is . . . | vedclass

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(A) We know that the domain of $\cos^{-1} x$ is $[-1, 1]$.For $x \in [-1, 1]$,the range of $\cos^{-1} x$ is $[0, \pi]$.Since $\cos^{-1} x$ takes all v

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$[0, \pi]$

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(A) We know that the domain of $\cos^{-1} x$ is $[-1, 1]$.For $x \in [-1, 1]$,the range of $\cos^{-1} x$ is $[0, \pi]$.Since $\cos^{-1} x$ takes all values in the interval $[0, \pi]$,the absolute value $\left|\cos^{-1} x\right|$ will also take all values in the interval $[0, \pi]$ because all values in $[0, \pi]$ are non-negative.Therefore,the range of $\left|\cos^{-1} x\right|$ is $[0, \pi]$.

The range of $\left|\cos ^{-1} x\right|$ is . . . . . . .

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