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