Find the modulus and argument of each of the following complex number: `2sqrt(3)-2i`

Explanation

`abs(z)=sqrt(Re(z)^2+Im(z)^2)`

`=sqrt((2 sqrt 3)^2+(-2)^2)`

`=4`

Since `(2 sqrt(3), -2)` lies in forth quadrant, `tan alpha=abs(frac{Im(z)}{Re(z)})=>abs(frac{-2}{2 sqrt(3)})=>frac{1}{sqrt(3)}`

`alpha=frac{pi}{6}`

`Arg(z)=theta=-alpha=frac{-pi}{6}`