Ф-ла Муавра:
0 \\ argZ=arctg -\frac{1}{1}=arctg(-1)=- \frac{ \pi }{4} \\
(1-i)^{12}= \sqrt{2}^{12}(cos(12*(- \frac{ \pi }{4}) )+isin(12*(- \frac{ \pi }{4}) ))= \\ =
2^6(cos3 \pi -isin3 \pi )=64(-1-i*0)=-64" alt="a=1 \\ b=-1 \\ r= \sqrt{1+1}= \sqrt{2} \\ a>0 \\ argZ=arctg -\frac{1}{1}=arctg(-1)=- \frac{ \pi }{4} \\
(1-i)^{12}= \sqrt{2}^{12}(cos(12*(- \frac{ \pi }{4}) )+isin(12*(- \frac{ \pi }{4}) ))= \\ =
2^6(cos3 \pi -isin3 \pi )=64(-1-i*0)=-64" align="absmiddle" class="latex-formula">