Documentation/Calc Functions/ACOSH

Function name:
ACOSH

Category:
Mathematical

Summary:
Calculates the inverse hyperbolic cosine (arcosh) of a real number. The value returned is non-negative and expressed in radians.

Syntax:
ACOSH(Number)

Returns:
Returns a real number in the range [0, ∞) that is the inverse hyperbolic cosine of Number in radians.

Arguments:
Number is a real number in the range [1, ∞), or a reference to a cell containing that number, whose inverse hyperbolic cosine is to be calculated.


 * If Number is non-numeric, then ACOSH reports a #VALUE! error.
 * If Number lies outside the range [1, ∞), then ACOSH reports an invalid argument error (Err:502).

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

$$\operatorname{arcosh}(x) = \ln\left (x+\sqrt{(x^2-1)}\right )$$

The figure below illustrates the function ACOSH.

Related LibreOffice functions:
ACOTH

ASINH

ATANH

COSH

ODF standard:
Section 6.16.4, part 2

Equivalent Excel functions:
ACOSH