## Purpose

## Return value

## Syntax

`=IMCOT(complex_num)`

*complex_num*- The complex number in the form "x+yi".

## How to use

The Excel IMCOT function returns the cotangent of a complex number. For example, given "3+4i" as input, the function returns "-0.000187588-1.000644392i" as output.

`=IMCOT("3+4i") // returns -0.000187588-1.000644392i`

### Explanation

In math, the cotangent of a complex number is defined using the complex sine and cosine functions.

In Excel, the cotangent of a complex number is equivalent to the following formula.

`=IMDIV(IMCOS(z),IMSIN(z)) // equivalent to IMCOT(z)`

The cotangent is the reciprocal of the complex tangent function.