# Category:Hyperbolic Sine Function

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This category contains results about Hyperbolic Sine Function.

Definitions specific to this category can be found in Definitions/Hyperbolic Sine Function.

The **hyperbolic sine** function is defined on the complex numbers as:

- $\sinh: \C \to \C$:

- $\forall z \in \C: \sinh z := \dfrac {e^z - e^{-z} } 2$

## Also see

## Subcategories

This category has the following 9 subcategories, out of 9 total.

### D

### H

### L

### P

## Pages in category "Hyperbolic Sine Function"

The following 44 pages are in this category, out of 44 total.

### D

### H

- Half Angle Formula for Hyperbolic Sine
- Half Angle Formulas/Hyperbolic Sine
- Hyperbolic Sine Function is Odd
- Hyperbolic Sine in terms of Sine
- Hyperbolic Sine minus Hyperbolic Sine
- Hyperbolic Sine of Complex Number
- Hyperbolic Sine of Difference
- Hyperbolic Sine of Sum
- Hyperbolic Sine of Sum/Corollary
- Hyperbolic Tangent Half-Angle Substitution for Sine

### P

- Periodicity of Hyperbolic Sine
- Power Reduction Formulas/Hyperbolic Sine Cubed
- Power Reduction Formulas/Hyperbolic Sine Squared
- Power Reduction Formulas/Hyperbolic Sine to 4th
- Power Series Expansion for Hyperbolic Sine Function
- Primitive of Hyperbolic Sine Function
- Primitive of Square of Hyperbolic Sine Function
- Primitive of Square of Hyperbolic Sine Function/Corollary
- Prosthaphaeresis Formula for Hyperbolic Sine minus Hyperbolic Sine
- Prosthaphaeresis Formula for Hyperbolic Sine plus Hyperbolic Sine
- Prosthaphaeresis Formulas/Hyperbolic Sine minus Hyperbolic Sine
- Prosthaphaeresis Formulas/Hyperbolic Sine plus Hyperbolic Sine

### S

- Simpson's Formula for Hyperbolic Sine by Hyperbolic Cosine
- Simpson's Formula for Hyperbolic Sine by Hyperbolic Sine
- Simpson's Formulas/Hyperbolic Sine by Hyperbolic Cosine
- Simpson's Formulas/Hyperbolic Sine by Hyperbolic Sine
- Sine in terms of Hyperbolic Sine
- Square of Hyperbolic Sine
- Sum of Hyperbolic Sine and Cosine equals Exponential