Definition:Inverse Cotangent/Complex/Definition 1

Definition
Let $z \in \C$ be a complex number.

The inverse cotangent of $z$ is the multifunction defined as:
 * $\cot^{-1} \left({z}\right) := \left\{{w \in \C: \cot \left({w}\right) = z}\right\}$

where $\cot \left({w}\right)$ is the cotangent of $w$.

Also see

 * Equivalence of Definitions of Complex Inverse Cotangent Function


 * Definition:Complex Arccotangent