Documentation/Calc Functions/ACOTH/en

Function name:
ACOTH

Category:
Mathematical

Summary:
Calculates the inverse hyperbolic cotangent (arcoth) of a real number, in radians.

Syntax:
ACOTH(Number)

Returns:
Returns a non-zero real number that is the inverse hyperbolic cotangent of Number in radians.

Arguments:
Number is a real number that lies outside the range [-1, 1], or a reference to a cell containing that number, whose inverse hyperbolic cotangent is to be calculated.


 * If Number is non-numeric, then ACOTH reports a #VALUE! error.


 * If Number lies in the range [-1, 1], then ACOTH reports an invalid argument error (Err:502).

Additional details:
The formula for the inverse hyperbolic cotangent of x is:

$$\text{arcoth}(x)~=~\frac{1}{2}\ln\left(\frac{x+1}{x-1}\right)$$

The figure below illustrates the function ACOTH.



Related LibreOffice functions:
ACOSH

ASINH

ATANH

COTH

ODF standard:
Section 6.16.6, part 2

Equivalent Excel functions:
ACOTH