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

Further details and examples of the Excel Sinh function are provided on 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.