Answer:**$\left [ -\frac{\pi}{2}, \frac{\pi}{2} \right ] -${$0$}**

The range of the principal value of $\; cosec^{-1}x$ is $\left [ -\frac{\pi}{2}, \frac{\pi}{2} \right ] -${$0$}

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What is the range of the principal value of $\tan^{-1}x$?

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