\begin{definition}[Definition:Inverse Sine/Complex/Definition 1]
Let $z \in \C$ be a complex number.
The '''inverse sine of $z$''' is the multifunction defined as:
:$\sin^{-1} \paren z := \set {w \in \C: \sin \paren w = z}$
where $\sin \paren w$ is the sine of $w$.
\end{definition}