The argument of a complex number $z=a+bi$, denoted by $\text{arg}(z),$ is the angle $\theta$ between the positive real axis and the line connecting origin to the point $(a,b)$ in the complex plane. The measure of angle $\theta$ is the arctangent of the ratio of the $y\text{-}$coordinate to the $x\text{-}$coordinate of the point. This measure is typically expressed using radians. For example, consider a complex number $2+2i.$ Its argument can be found by calculating $\arctan \left(\frac{2}{2}\right).$ The argument of $2+2i$ is $\frac{\pi }{2}.$