求复数的三角形式

2025-02-25 12:32:43
推荐回答(1个)
回答1:

z=[(z1-1)²+1-5i]/(2+i-2i)
=[(1+i)²+1-5i]/(2-i)
=[1+2i-1+1-5i]/(2-i)
=(1-3i)/(2-i)
=(1-3i)(2+i)/(2²+1²)
=(2+i-6i+3)/5
=(5-5i)/5
=1-i
=√2[cos(-π/4)+isin(-π/4)]