Definition:Inverse Cosecant/Complex/Definition 1

Definition

Let $z \in \C_{\ne 0}$ be a non-zero complex number.

The inverse cosecant of $z$ is the multifunction defined as:

$\csc^{-1} \left({z}\right) := \left\{{w \in \C: \csc \left({w}\right) = z}\right\}$

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

Also see

• Equivalence of Definitions of Complex Inverse Cosecant Function

• Definition:Complex Arccosecant