Question

Комплексные числа. Выполните указанные действия

Answer 1

z=(-1)²⁵(cos(π/15)+isin(π/15))²⁵=-(cos(25π/15)+isin(25π/15))=-cos(5π/3)-isin(5π/3)=-cos(2π-π/3)-isin(2π-π/3)=-cos(-π/3)-isin(-π/3)=
-cos(π/3)+isin(π/3)=-1/2+i√3/2