The Excel SINH Function
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:
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:
- as a value returned from another function or formula
- as a reference to a cell containing a value
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.
Further information and examples of the Excel Sinh function can be found on the Microsoft Office website.