## IMAGINARY Function

The `IMAGINARY`

function in Google Sheets extracts the imaginary part of a complex number.

### Syntax

```
IMAGINARY(complex_number)
```

`complex_number`

: The complex number from which you want to extract the imaginary part. This is a required parameter.

### Examples

**Extracting the Imaginary Part**

Extract the imaginary part of the complex number ‘3+4i’:

```
=IMAGINARY("3+4i")
```

This will output 4.

**Imaginary Part of a Purely Imaginary Number**

Extract the imaginary part of the complex number ‘0+5i’:

```
=IMAGINARY("0+5i")
```

This will output 5.

**Imaginary Part of a Real Number**

Extract the imaginary part of the number ‘7’:

```
=IMAGINARY("7")
```

This will output 0.

### Notes

- The IMAGINARY function is useful in calculations involving the manipulation of complex numbers.
- The imaginary part of a complex number is the coefficient of the imaginary unit (i) in the complex number.