# The Excel COSH Function

Hyperbolic Functions

The basic hyperbolic functions, cosh, sinh and tanh are related to the equilateral hyperbola, x2-y2=1.

If the area between a line through the origin, the x-axis, and the hyperbola x2-y2=1 has area α/2, then:

• cosh α is the x coordinate of the intersection between the line through the origin and the hyperbola x2-y2=1
• sinh α is the y coordinate of the intersection between the line through the origin and the hyperbola x2-y2=1
• tanh α is equal to sinh α / cosh α The equation used to calculate the hyperbolic cosine is: ## Function Description

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

The syntax 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 following spreadsheet shows the Excel Cosh Function, used to calculated the hyperbolic cosine of three different numbers:

 Formulas: Results: For further details and examples of the Excel Cosh function, see the Microsoft Office website.

## Cosh Function Error

If you get an error from the Excel Cosh Function, this is likely to be the #VALUE! error:

Common Error
 #VALUE! - Occurs if the supplied number argument is not recognized as a numeric value.