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:
 * $\csc^{-1} \left({x}\right) := \left\{{y \in \R: \csc \left({y}\right) = x}\right\}$

where $\csc \left({y}\right)$ is the cosecant of $y$.