Documentation/Calc Functions/ACOTH
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Function name:
ACOTH
Category:
Mathematical
Summary:
Returns the inverse hyperbolic cotangent of the given number.
Syntax:
ACOTH(Number)
Returns:
This function returns the inverse hyperbolic cotangent of Number, that is the number whose hyperbolic cotangent is Number.
Arguments:
Number is the real number, or a reference to a cell containing that number whose inverse hyperbolic cotangent value is to be calculated. Number should not be between -1 and 1 inclusive.
If Number is less than equal to 1 and greater than equal to -1, ACOTH returns the error value. Alternatively, if the absolute value of Number is less than 1, ACOTH returns the error value.
Additional details:
- The hyperbolic arccotangent is an analog of the ordinary (circular) arccotangent.
- The formula for inverse hyperbolic cotangent is:
where x is the Number
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. | 4 |
=ACOTH(-1.5) | Inverse hyperbolic cotangent of -1.5. | -0.80471895621705 |
=ACOTH(0.5) | Inverse hyperbolic cotangent of 0.5 will return an error because 0.5 is out of its domain. | Err:502 |
=ACOTH(1) | Inverse hyperbolic cotangent of 1 will return an error because 1 is out of its domain. | Err:502 |
Related LibreOffice functions:
ODF standard:
Equivalent Excel functions:
ACOTH