Answer
The cosecant function is continuous for all real numbers except from $n \pi$, where $n$ represents an integer.
Work Step by Step
We know that the cosecant function is undefined for $\pi,2\pi,3\pi, etc$. That is, for $n \pi$, where $n$ represents an integer.
Therefore, it is continuous everywhere, except for $n \pi$, where $n$ represents an integer.