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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.

Enter values

Results update as you type.

Result

arg(z)

135 °

Radians
2.3561944902

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

  1. Enter z.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Complex Argument 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