(1+i)ⁿ
[m](1+i)^{n}=(\sqrt{2})^{n}\cdot (cos\frac{πn}{4}+isin\frac{πn}{4}),n ∈[/m] [b]Z[/b] ⇒
Пример:
при n=4k, k ∈ N [m](1+i)^{n}=2^{2k}\cdot (cosπk+isinπk)=4^{k}\cdot (cosπk+i\cdot 0)=4^{k}\cdot (-1)^k[/m]
n=4k+1
n=4k+2
n=4k+3