Documentation/Calc Functions/ACOSH
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Function name:
ACOSH
Category:
Mathematical
Summary:
Returns the inverse hyperbolic cosine of a number.
Syntax:
ACOSH(Number)
Returns:
This function returns the inverse hyperbolic cosine of Number, that is the value whose hyperbolic cosine is Number. The resultant value ranges from 0 and +∞, i.e. [0,+∞).
Arguments:
Number is the real number, or a reference to a cell containing that number, which must be greater than or equal to 1 whose inverse hyperbolic cosine value is to be calculated.
If the Number is less than +1, the function returns an error value because it is out of domain.
Additional details:
- The formula for inverse hyperbolic cosine is:
where N is the Number
The figure below illustrates the function ACOSH.
Examples:
Formula | Description | Returns |
---|---|---|
=ACOSH(1) | Inverse hyperbolic cosine of 1. | 0 |
=ACOSH(COSH(4)) | Inverse hyperbolic cosine of hyperbolic cosine of 4. | 4 |
=ACOSH(1.5) | Inverse hyperbolic cosine of 1.5. | 0.962423650119207 |
=ACOSH(0.5) | Inverse hyperbolic cosine of 0.5 will return an error because 0.5 is out of its domain. | Err:502 |
Related LibreOffice functions:
ODF standard:
Equivalent Excel functions:
ACOSH