Question

Solve for all solutions to the complex equation
z^6 = 1

Answer 1

z⁶ =1

z⁶ =cos(2kπ)+isin(2kπ)

z⁶ =e^i2kπ

z= e^i2kπ/6

z= e^ikπ/3

z =cos(kπ/3)+isin(kπ/3)     k =0,1,2,3,4,5