# COTH function

This article describes the formula syntax and usage of the COTH 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

Return the hyperbolic cotangent of a hyperbolic angle.

## Syntax

`COTH(number)`

The COTH function syntax has the following arguments.

• Number    Required.

## Remarks

• The hyperbolic cotangent is an analog of the ordinary (circular) cotangent.
• The absolute value of Number must be less than 2^27.
• If Number is outside its constraints, COTH returns the #NUM! error value.
• If Number is a non-numeric value, COTH returns the #VALUE! error value.
• The following 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