# Documentation/Calc Functions/ACOT

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## Function name:

ACOT

## Category:

Mathematical

## Summary:

Calculates the inverse trigonometric cotangent (arccotangent or arccot) of a real number. The value returned is the principal value and lies in the range (0, π) radians.

## Syntax:

ACOT(**Number**)

## Returns:

Returns a real number in the range (0, π) that is the inverse trigonometric cotangent of **Number** in radians.

## Arguments:

**Number** is a real number, or a reference to a cell containing that number, whose inverse trigonometric cotangent is to be calculated.

- If
**Number**is non-numeric, then ACOT reports a #VALUE! error.

## Additional details:

- To return the angle in degrees, use the DEGREES function.
- Alternatively multiply by 180/PI() to convert the result from radians to degrees.

The figure below illustrates the function ACOT.

## Examples:

Formula | Description | Returns |
---|---|---|

=ACOT(−1) | Inverse trigonometric cotangent of -1. | 2.35619449019234 (3π/4) |

=ACOT(0.5) | Inverse trigonometric cotangent of 0.5. | 1.10714871779409 |

=DEGREES(ACOT(0.5)) | Inverse trigonometric cotangent of 0.5, converted to degrees. | 63.434948822922 |

=ACOT(0.5)*180/PI() | Inverse trigonometric cotangent of 0.5, converted to degrees. | 63.434948822922 |

=DEGREES(ACOT(COT(RADIANS(60))) | An angle of 60° is converted to radians, its cotangent is taken, then the inverse cotangent of that value is calculated, and finally the result is converted back to degrees. | 60 |

## Related LibreOffice functions:

## ODF standard:

## Related (or similar) Excel functions:

ACOT since v.2013.