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