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Write down the interval for the principal-value branch of each of the following functions and draw its graph:

Question:

Write down the interval for the principal-value branch of each of the following functions and draw its graph:

$\operatorname{cosec}^{-1} x$

Solution:

Principal value branch of $\operatorname{cosec}^{-1} \times$ is $\left[-\frac{\pi}{2}, 0\right) \cup\left(0, \frac{\pi}{2}\right]$

 

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