# The Excel SINH 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 sine is:

## Function 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.