w=-1/2+根3i/2求w^n(n属于正整数)的值

问题描述:

w=-1/2+根3i/2
求w^n(n属于正整数)的值

=cos(2nπ/3)+isin(2nπ/3)

w^(3k+1) = -1/2+根3i/2
w^(3k+2) = -1/2-根3i/2
w^3k = 1
k是正整数