Find the set of values
Question:

Find the set of values of $\operatorname{cosec}^{-1}\left(\frac{\sqrt{3}}{2}\right)$

Solution:

The value of $\operatorname{cosec}^{-1}\left(\frac{\sqrt{3}}{2}\right)$ is undefined as it is outside the range i.e., $R-(-1,1)$.