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:

$\sec ^{-1} x$

 

Solution:

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

 

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