Definition:Inverse Cosecant/Real

Definition
Let $x \in \R$ be a real number such that $x \le -1$ or $x \ge 1$.

The inverse cosecant of $x$ is the multifunction defined as:
 * $\map {\csc^{-1} } x := \set {y \in \R: \map \csc y = x}$

where $\map \csc y$ is the cosecant of $y$.