# Documentation/Calc Functions/ACOT

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## Function name:

ACOT

## Category:

Mathematical

## Summary:

Returns the inverse cotangent (the arccotangent) of a number. This function calculates the principal value.

## Syntax:

ACOT(**Number**)

## Returns:

This function returns the inverse trigonometric cotangent of **Number**, that is the angle (in radians) whose cotangent is **Number**. The angle returned is between 0 and PI, i.e. [0, π].

## Arguments:

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

## 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 GIF below illustrates the function ACOT.

## Examples:

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

=ACOT(1) | Inverse trigonometric cotangent of 1 | 0.785398163397448 (PI/4 radians or π/4) |

=DEGREES(ACOT(0.5)) | Inverse trigonometric cotangent of 0.5. Further, converting angle in radians to degrees. | 45° (degrees) |

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

=ACOT(0.5)*180/PI() | Inverse trigonometric cosine of 0.5. Further, converting angle in radians to degrees by multiplying by 180/PI(). | 45° (degrees) |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

ACOT