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# The Excel SINH 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 sine is:

## Basic Description

The Excel Sinh function calculates the hyperbolic sine (sinh) of a supplied number.

The syntax of the function is:

SINH( number )

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

## Sinh Function Examples

The following spreadsheet shows the Excel Sinh Function, used to calculate the hyperbolic sine of three different values:

Formulas: | Results: |

For further details and examples of the Excel Sinh function, see the Microsoft Office website.

## Sinh Function Error

If you get an error from the Excel Sinh 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. |