How to sketch: $\csc^{(-1)}(x) \in (0,\frac{\pi}{2}]$
I can sketch the graph of $f(x) = \csc(x)$ fine, and I can see that an inverse does exist on the given interval as a bijection occurs over it; however, I can't seem to see a method to graphing the inverse. The only step I know to take is to make the domain of $\csc(x)$ the range of the inverse and the range of $\csc(x)$ the domain of the inverse. Is it just the half parabola on its side pointing to the right? or how to I graph the inverse correctly?