Documentation/Calc Functions/ACOTH
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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:
[math]\displaystyle{ \text{arcoth}(x)~=~\frac{1}{2}\ln\left(\frac{x+1}{x-1}\right) }[/math]
The figure below illustrates the function ACOTH.
Examples:
| Formula | Description | Returns |
|---|---|---|
| =ACOTH(1.1) | Inverse hyperbolic cotangent of 1.1. | 1.52226121886171 |
| =ACOTH(COTH(4)) | Inverse hyperbolic cotangent of hyperbolic cotangent of 4. | 3.99999999999997 |
| =ACOTH(D1) where cell D1 contains the value -1.5. | Inverse hyperbolic cotangent of -1.5. | −0.80471895621705 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
ACOTH since v.2013.