Skriv zzz på polar form.
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Skriv iii på polarform: i=eiπ/2i = e^{i\pi/2}i=eiπ/2
Da z2=ei(π/2+2kπ)z^2 = e^{i(\pi/2 + 2k\pi)}z2=ei(π/2+2kπ) gir z=ei(π/4+kπ)z = e^{i(\pi/4 + k\pi)}z=ei(π/4+kπ) for k=0,1k=0,1k=0,1:
z1=eiπ/4=22(1+i)\displaystyle z_1 = e^{i\pi/4} = \frac{\sqrt{2}}{2}(1+i)z1=eiπ/4=22(1+i)
z2=ei5π/4=−22(1+i)\displaystyle z_2 = e^{i5\pi/4} = -\frac{\sqrt{2}}{2}(1+i)z2=ei5π/4=−22(1+i)
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