The ATAN() function returns the arctangent (inverse tangent) of a given value. It calculates the angle whose tangent equals the input value, mathematically expressed as ATAN(x) = (i/2) × ln((i + x) / (i - x)). It's the inverse operation of the tangent function.
This function can be useful to measure the steepness of a rolling trend line as it accelerates or decelerates over time.
Syntax
ATAN(Value)
Arguments
| Argument | Data type | Description |
| Value | Number | The tangent of the angle for which you want to calculate the arctangent. The input can be any finite number. |
The ATAN() function returns a numeric value between -π/2 and π/2, inclusive.
Calculation engine functionality differences
This function is only available in the Polaris Calculation Engine.
Syntax example
ATAN(1)
Additional information
Returns NaN when Angle is NaN.
Excel equivalent
Examples
| Formula | Result |
ATAN(1) | 0.7854 |
ATAN(1) * 180 / PI() | 45 |
TODEGREES(ATAN(1)) | 45 |
Example 1: Customer lifetime value growth trajectory analysis
Example 2: Debt reduction rate trajectory monitoring
Example 3: Demand volatility trajectory mapping
Example 4: Absenteeism escalation trajectory monitoring
