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Complex Number Calculators

Complex Argument Calculator

Find the argument (angle) of a complex number in degrees and radians using atan2, with the correct quadrant.

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.

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