# ACOTH function

This article describes the formula syntax and usage of the ACOTH function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

## Description

Returns the inverse hyperbolic cotangent of a number.

## Syntax

`ACOTH(number)`

The ACOTH function syntax has the following arguments.

Number    Required. The absolute value of Number must be greater than 1.

## Remarks

• 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

The workbook below shows examples of this function. Inspect them, change existing formulas, or enter your own formulas to learn how the function works.

To work more in-depth with the example data in Excel, download the embedded workbook to your computer, and then open it in Excel.

Applies to:
Excel 2013, Excel Online