# ACOTH function: Description, Usage, Syntax, Examples and Explanation

## What is ACOTH function in Excel?

ACOTH function is one of the Math and Trig functions in Microsoft Excel that returns the inverse hyperbolic cotangent of a number.

## Syntax of ACOTH function

ACOTH(number)

The ACOTH function syntax has the following arguments.

**Number:** The absolute value of Number must be greater than 1.

## ACOTH formula explanation

- The hyperbolic arccotangent is an analog of the ordinary (circular) arccotangent.
- If Number is less than 1, ACOTH returns the #NUM! error value.
- If the absolute value of Number is less than 1, ACOT returns the #VALUE! error value.
- This mathematical equation is used:

## Example of ACOTH function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

Formula |
Description |
Result |

=ACOTH(6) | Returns the hyperbolic arccotangent of 6 (0.168). | 0.168 |