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# The Excel COSH Function

Hyperbolic Functions

The basic hyperbolic functions, cosh, sinh and tanh are related to the equilateral hyperbola, x^{2}-y^{2}=1.

If the area between a line through the origin, the x-axis, and the hyperbola x^{2}-y^{2}=1 has area α/2, then:

- cosh α is the x coordinate of the intersection between the line through the origin and the hyperbola x
^{2}-y^{2}=1 - sinh α is the y coordinate of the intersection between the line through the origin and the hyperbola x
^{2}-y^{2}=1 - tanh α is equal to sinh α / cosh α

The equation used to calculate the hyperbolic cosine is:

## Basic Description

The Excel Cosh function calculates the hyperbolic cosine (cosh) of a supplied number.

The format of the function is:

COSH( number )

Where the number argument is a real number that you want to calculate the hyperbolic cosine of.

## Cosh Function Examples

The spreadsheet below shows examples of the Excel Cosh Function used to calculated the hyperbolic cosine of three different numbers.

Formulas: | Results: |

Further details and examples of the Excel Cosh function can be found on the Microsoft Office website.