Express z=1+iz = 1 + iz=1+i using Euler's formula.
2eiπ/4\sqrt{2}e^{i\pi/4}2eiπ/4
2(cos(π/4)+isin(π/4))\sqrt{2}(\cos(\pi/4) + i\sin(\pi/4))2(cos(π/4)+isin(π/4))
Both a and b
2eiπ/42e^{i\pi/4}2eiπ/4