The range of sec ^{-1} x is | vedclass

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(D) The function $f(x) = \sec^{-1} x$ is the inverse of the secant function restricted to the domain $[0, \pi] - \{\frac{\pi}{2}\}$.By definition,the

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$[0, \pi] - \{\frac{\pi}{2}\}$

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(D) The function $f(x) = \sec^{-1} x$ is the inverse of the secant function restricted to the domain $[0, \pi] - \{\frac{\pi}{2}\}$.By definition,the range of the principal value branch of $\sec^{-1} x$ is the set of all values in the interval $[0, \pi]$ excluding $\frac{\pi}{2}$,because $\sec x$ is undefined at $\frac{\pi}{2}$.Therefore,the range is $[0, \pi] - \{\frac{\pi}{2}\}$.

The range of $\sec ^{-1} x$ is

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