The argument of a complex number is defined as the angle inclined from the real axis in the direction of the complex number represented on the complex plane.

It is denoted by “θ” or “φ”. It is measured in the standard unit called “radians”

arg (z) = arg (x+iy) = tan^-1(y/x)

Let z = 2 + 2√3i.

Here, the real part, x = 2

Imaginary part, y = 2√3

We know that the formula to find the argument of a complex number is

arg (z) = tan^-1(y/x)

arg (z) = tan^-1(2√3/2)

arg (z) = tan^-1(√3)

arg (z) = tan^-1(tan π/3)

arg (z) = π/3