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Argument of a Complex Number

Argument of a Complex Number
Polar Angle of a Complex Number

The angle describing the direction of a complex number on the complex plane. The argument is measured in radians as an angle in standard position. For a complex number in polar form r(cos θ + isin θ) the argument is θ.

 

Complex plane diagram showing point a+bi with labeled modulus (distance from origin) and argument (polar angle from real axis).

 

See also

Modulus of a complex number, argument of a vector