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:
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 :
Where the number argument is the real number that you want to calculate the sinh of. This can be input to the function either :
- as a value returned from another function or formula, or
- as a reference to a cell containing a value
Column B of the spreadsheet below, shows examples of the Excel Sinh Function, used to calculate the hyperbolic sine of three different values.
The formulas are shown in the spreadsheet on the left and the results are shown in the spreadsheet on the right.
Further information and examples of the Excel Sinh function can be found on the Microsoft Office website.