# IMAGINARY

The IMAGINARY function in Excel is used to return the imaginary coefficient of a complex number. It helps in extracting the imaginary part of a complex number.

## Syntax

=IMAGINARY(`complex_number`

)

`complex_number` | The complex number for which you want to find the imaginary coefficient. |

## About IMAGINARY

When delving into the world of complex numbers within Excel, the IMAGINARY function serves as a handy tool for isolating and extracting the imaginary component of a complex number. It proves particularly useful when dealing with mathematical calculations, engineering applications, and various scientific fields that involve complex number operations. By specifying the desired complex number as the input, you can swiftly retrieve the imaginary part of the complex value for further analysis and computations.

## Examples

Suppose you have a complex number 3+4i (where i represents the imaginary unit). To extract the imaginary coefficient of this complex number, you can use the formula: =IMAGINARY(3+4i). This will return the value 4, which is the imaginary part of the given complex number.

## Questions

**What is the output of the IMAGINARY function?**

The IMAGINARY function outputs the imaginary coefficient of a complex number, representing the value of the imaginary part of the given complex value.

**Can I use the IMAGINARY function for non-complex numbers?**

No, the IMAGINARY function is specifically designed for complex numbers. If applied to a non-complex value, it will return a result of zero (0) as the imaginary component of a real number is considered to be zero.

**Is the IMAGINARY function limited to a certain range of complex numbers?**

No, the IMAGINARY function can handle a wide spectrum of complex number values, including both real and imaginary parts. It accommodates various complex numbers within Excel calculations and provides accurate results for a diverse set of inputs.

## Related functions

['IMREAL'

'COMPLEX'

'CONJUGATE'

'IMABS'

'IMARGUMENT']