high School⏱ 3 min

Complex Argument

Angle of complex number in plane

○Not Started
45.0°1.5+1.5i
a = 1.5
b = 1.5
arg⁡(z)=atan2(1.50, 1.50)=45.00°\arg(z) = \text{atan2}(1.50,\,1.50) = 45.00°
arg⁡(z)∈(−180°, 180°]\arg(z) \in (-180°,\, 180°]

The argument (phase) is the angle the vector z makes with the positive real axis. Change the sign of b – the argument becomes negative (clockwise rotation).