# Category:Hyperbolic Tangent Function

This category contains results about Hyperbolic Tangent Function.
Definitions specific to this category can be found in Definitions/Hyperbolic Tangent Function.

The hyperbolic tangent function is defined on the complex numbers as:

$\tanh: X \to \C$:
$\forall z \in X: \tanh z := \dfrac {e^z - e^{-z} } {e^z + e^{-z} }$

where:

$X = \set {z : z \in \C, \ e^z + e^{-z} \ne 0}$

## Also see

Category:Hyperbolic Sine Function
Category:Hyperbolic Cosine Function
Category:Hyperbolic Cotangent Function
Category:Hyperbolic Secant Function
Category:Hyperbolic Cosecant Function
Category:Inverse Hyperbolic Tangent

## Subcategories

This category has the following 4 subcategories, out of 4 total.