The COSH() function returns the hyperbolic cosine of a given value. It's a hyperbolic function that calculates symmetric exponential behavior, mathematically expressed as COSH(x) = (e^x + e^(-x)) / 2. The function accepts any real number and returns a value greater than or equal to 1. It describes the natural shape of a hanging chain or cable, known as a catenary curve.
This function can be useful to model how forecast uncertainty grows symmetrically in both directions around a central rolling average.
Syntax
COSH(Value)
Arguments
| Argument | Data type | Description |
| Value | Number | The numeric value for which you want to calculate the hyperbolic cosine. The input can be any finite number. |
The COSH() function returns a numeric value greater than or equal to 1.
Calculation engine functionality differences
This function is only available in the Polaris Calculation Engine.
Syntax example
COSH(1)
Additional information
Returns NaN when Angle is NaN.
Excel equivalent
Examples
| Formula | Result |
COSH(4) | 27.31 |
COSH(EXP(1)) | 7.61 |
Example 1: Bond duration sensitivity to interest rate changes
Example 2: Cold chain temperature deviation cost modeling
Example 3: Customer churn risk escalation modeling
Example 4: Overtime fatigue cost escalation modeling
