The Excel ACOSH Function

Inverse Hyperbolic Cosine

The acosh function returns the inverse hyperbolic cosine. Therefore,

ACOSH( COSH( z ) ) = z

The equation used to calculate the inverse hyperbolic cosine is:

Inverse Hyperbolic Cosine Equation
Further information on the inverse hyperbolic functions can be found on Wikipedia

Basic Description

The Excel Acosh function calculates the inverse hyperbolic cosine of a supplied number.

The syntax of the function is:

ACOSH( number )

Where the number argument is the positive real number that you want to calculate the inverse hyperbolic cosine of. This value must be greater than or equal to 1.

Excel Acosh Function Examples

In the following spreadsheet, the Excel Acosh Function is used to calculate the inverse hyperbolic cosine of three different values:

21=ACOSH( A2 )
32.5=ACOSH( A3 )
45=ACOSH( A4 )

Further details and examples of the Excel Acosh function are provided on the Microsoft Office website.

Acosh Function Errors

If you get an error from the Excel Acosh Function, this is likely to be one of the following:

Common Errors
#NUM!-Occurs if the supplied number is less than 1.
#VALUE!-Occurs if the supplied number argument is not recognized as a numeric value.