﻿ IMARGUMENT function

# IMARGUMENT function

This article describes the formula syntax and usage of the IMARGUMENT function in Microsoft Excel.

## Description

Returns the argument (theta), an angle expressed in radians, such that:

## Syntax

IMARGUMENT(inumber)

The IMARGUMENT function syntax has the following arguments:

• Inumber    Required. A complex number for which you want the argument .

## Remarks

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

• IMARGUMENT is calculated as follows:

where:

and

z = x + yi

## Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

 Formula Description Result =IMARGUMENT("3+4i") Theta argument of 3+4i, in radians 0.92729522

Applies To: Excel 2016 Preview, Excel 2010, Excel Starter, Excel 2013, Excel Online, Excel 2016 for Mac, Excel for Mac 2011, Excel 2007

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