INFO
This page was originally generated from official documentation.
The IMARGUMENT function returns the angle (also known as the argument, or theta) of the given complex number in radians. This is the angle θ such that, for any complex number in Cartesian form x + yi, x + yi = reiθ where r is the magnitude of the number.
Syntax
=IMARGUMENT(number)| Part | Description | Notes |
|---|---|---|
| number | The complex number whose argument will be calculated. | This can be either the result of the COMPLEX function, a real number (which is interpreted as a complex number with imaginary part equal to 0), or a string in the format “x + yi” where x and y are numeric. |
Sample formulas
IMARGUMENT(COMPLEX(4, 6)
IMARGUMENT(4)
IMARGUMENT("2+3I")Notes
The IMARGUMENT function returns an error if the given number isn’t a valid complex number, or is 0.
Examples
| A | B |
|---|---|
| 1 | Formula |
| 2 | =IMARGUMENT(COMPLEX(0, 1)) |
| 3 | =IMARGUMENT(1) |
| 4 | =IMARGUMENT(“1+1i”) |
Related function
COMPLEX: The COMPLEX function creates a complex number, given real and imaginary coefficients.