About the Complex Argument Calculator
Find the argument (angle) of a complex number in degrees and radians using atan2, with the correct quadrant.
Also known as: arg of complex number, phase angle, angle of complex number.
How to use this calculator
- Enter z.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
arg(z) = atan2(b, a), in (−180°, 180°]
Worked example
Using the values pre-filled in the calculator above:
- z: -1 + 1i
the calculator returns:
- arg(z): 135 °
- Radians: 2.3561944902