The ACOSH() function returns the inverse hyperbolic cosine of a given value. It calculates the value whose hyperbolic cosine equals the input, mathematically expressed as ACOSH(x) = ln(x + √(x² - 1)). The function accepts values greater than or equal to 1 and returns a non-negative value (≥ 0). It's the inverse operation of the hyperbolic cosine function.
This function can be useful to calculate how far a moving average has stretched beyond its baseline threshold in a rolling performance model.
Syntax
ACOSH(Value)
Arguments
| Argument | Data type | Description |
| Value | Number | The numeric value for which you want to calculate the inverse hyperbolic cosine. The input must be greater than or equal to 1. |
The ACOSH() function returns a non-negative numeric value.
Calculation engine functionality differences
This function is only available in the Polaris Calculation Engine.
Syntax example
ACOSH(1.5431)
Additional information
Returns NaN when Angle is NaN.
Excel equivalent
Examples
| Formula | Result |
ACOSH(1) | 0 |
ACOSH(10) | 2.993 |
Example 1: Product adoption curve position identification
Example 2: Pension fund liability growth acceleration monitoring
Example 3: Customs clearance delay escalation tracking
Example 4: Employee skill obsolescence acceleration tracking
