Given z=2(cosπ3+isinπ3)z = 2(\cos \frac{\pi}{3} + i \sin \frac{\pi}{3})z=2(cos3π+isin3π), what is the rectangular form of zzz?
1+3i1 + \sqrt{3}i1+3i
3+i\sqrt{3} + i3+i
2+2i2 + 2i2+2i
1+i1 + i1+i