Definition:Cotangent/Complex Function
< Definition:Cotangent(Redirected from Definition:Complex Cotangent Function)
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Definition
Let $z \in \C$ be a complex number.
The complex function $\cot z$ is defined as:
- $\cot z = \dfrac {\cos z} {\sin z} = \dfrac 1 {\tan z}$
where:
The definition is valid for all $z \in \C$ such that $\sin z \ne 0$.