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
Hyperbolic Functions cosh and sinh

The equation used to calculate the hyperbolic sine is:

Hyperbolic Sine Equation

Basic Description

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

The format of the function is :

SINH( number )

Where the number argument is a real number that you want to calculate the hyperbolic sine of. This can be input to the function either:


Sinh Function Examples

Column B of the spreadsheet below, shows examples of the Excel Sinh Function, used to calculate the hyperbolic sine of three different values.

 Formulas:
Examples of use of the Excel Sinh Function
 Results:
Excel Sinh Function Results

Further information and examples of the Excel Sinh function can be found on the Microsoft Office website.