Category:Hyperbolic Tangent Function
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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
Subcategories
This category has the following 5 subcategories, out of 5 total.
Pages in category "Hyperbolic Tangent Function"
The following 38 pages are in this category, out of 38 total.
D
E
H
- Half Angle Formula for Hyperbolic Tangent
- Half Angle Formula for Hyperbolic Tangent/Corollary 1
- Half Angle Formula for Hyperbolic Tangent/Corollary 2
- Half Angle Formulas/Hyperbolic Tangent
- Hyperbolic Cotangent is Reciprocal of Hyperbolic Tangent
- Hyperbolic Tangent Function is Odd
- Hyperbolic Tangent Half-Angle Substitution
- Hyperbolic Tangent in terms of Tangent
- Hyperbolic Tangent Less than X
- Hyperbolic Tangent of Complex Number
- Hyperbolic Tangent of Difference
- Hyperbolic Tangent of Sum
- Hyperbolic Tangent of Sum/Corollary
P
- Periodicity of Hyperbolic Cotangent
- Periodicity of Hyperbolic Tangent
- Power Series Expansion for Hyperbolic Tangent Function
- Primitive of Hyperbolic Tangent Function
- Primitive of Product of Hyperbolic Secant and Tangent
- Primitive of Square of Hyperbolic Secant Function
- Primitive of Square of Hyperbolic Tangent Function