If z=2+2iz = 2 + 2iz=2+2i, identify the polar form reiθr e^{i\theta}reiθ where θ∈[0,2π)\theta \in [0, 2\pi)θ∈[0,2π).
22eiπ/42\sqrt{2} e^{i\pi/4}22eiπ/4
4eiπ/44 e^{i\pi/4}4eiπ/4
22eiπ/22\sqrt{2} e^{i\pi/2}22eiπ/2
4eiπ/24 e^{i\pi/2}4eiπ/2