\begin{definition}[Definition:Cosecant/Complex Function]
Let $z \in \C$ be a complex number.
The complex function $\csc z$ is defined as:
:$\csc z = \dfrac 1 {\sin z}$
where $\sin z$ is the sine of $z$.
The definition is valid for all $z \in \C$ such that $\sin z \ne 0$.
\end{definition}