- #1
h0llow
- 21
- 0
Homework Statement
Use De Moivre's Theorem to solve for the roots of unity 1, ω, ω2
Hence show that the sum of these roots is zero
Homework Equations
r(cosθ + isinθ)
r(cos(θ + 2n∏)+isin(θ+isin∏))
The Attempt at a Solution
I know the first root,1, is 1(cos 0 + i sin 0)
but have no clue about the next 2, or of how i would prove they are equal to 0.