Returns the inverse hyperbolic cosine of a number.
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,+∞).
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.
- The formula for inverse hyperbolic cosine is:
where N is the Number
The figure below illustrates the function ACOSH.
|=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:
Equivalent Excel functions: