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 |