The Excel TANH 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 tangent is therefore:
Function Description
The Excel Tanh function calculates the hyperbolic tangent (tanh) of a supplied number.
The syntax of the function is:
TANH( number )
Where the number argument is the real number that you want to calculate the hyperbolic tangent of.
Tanh Function Examples
The following spreadsheet below shows the Excel Tanh Function, used to calculate the hyperbolic tangent of three different values:
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Formulas:
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Results:
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For further details and examples of the Excel Tanh function, see the Microsoft Office website.
Tanh Function Error
If you get an error from the Excel Tanh 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. |