1. The problem statement, all variables and given/known data Use de Movire to find solutions for the following: z^5 = i z^4 = i z^3 = i Find generalization for z^n = x+iy, where modulus of x+iy is 1 Explore when |x+iy| is not equal to 1 2. Relevant equations [rcis(theta)] = (r^n)cis(theta*n) r = /sqrt(y^2 + x^2) theta = arctan(y/x) Finding the roots of complex numbers: (r^1/n)cis(2kpi/n), where k = 0,1,...n-1 3. The attempt at a solution I tried using moivre's theorem to find the roots of z, but I ended up with theta=arctan(1/0), so it is undefined. Yes, and now I'm stuck. Could the answer possibly be undefined/no solution?