Definition:Cosecant/Complex Function

Definition
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 $\sin z \ne 0$.