Documentation/Calc Functions/COTH/en

Function name:
COTH

Category:
Mathematical

Summary:
Calculates the hyperbolic cotangent (coth) of a hyperbolic angle expressed in radians.

Syntax:
COTH(Number)

Returns:
Returns a real number that lies outside the range [-1, 1] that is the hyperbolic cotangent of the specified hyperbolic angle.

Arguments:
Number is a non-zero real number, or a reference to a cell containing that number, that is the hyperbolic angle in radians whose hyperbolic cotangent is to be calculated.


 * If Number is non-numeric, then COTH reports a #VALUE! error.
 * If Number is equal to 0, then COTH reports a #NUM! error.

Additional details:
The formula for the hyperbolic cotangent of x is: $$\coth(x)~=~\frac{\cosh(x)}{\sinh(x)}~=~\frac{e^x+e^{-x}}{e^x-e^{-x}}$$

The figure below illustrates the function COTH.



Related LibreOffice functions:
ACOTH

COSH

CSCH

SECH

SINH

TANH

ODF standard:
Section 6.16.22, part 2

Equivalent Excel functions:
COTH