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

## What is IMAGINARY function in Excel?

IMAGINARY function is one of Engineering functions in Microsoft Excel that returns the imaginary coefficient of a complex number in x + yi or x + yj text format.

## Syntax of IMAGINARY function

IMAGINARY(inumber)

The IMAGINARY function syntax has the following arguments:

**Inumber:**A complex number for which you want the imaginary coefficient.

## IMAGINARY formula explanation

- Use COMPLEX to convert real and imaginary coefficients into a complex number.

## Example of IMAGINARY 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 |

=IMAGINARY(“3+4i”) | Imaginary coefficient of the complex number 3+4i | 4 |

=IMAGINARY(“0-j”) | Imaginary coefficient of the complex number 0-j | -1 |

=IMAGINARY(4) | Imaginary coefficient 4 | 0 |