Math Help - Not sure how to solve this trig problem dealing with the three roots of one

1. Not sure how to solve this trig problem dealing with the three roots of one

Solve. z to the third power -1=0

2. Re: Not sure how to solve this trig problem dealing with the three roots of one

$z^3 = 1$

z can be any of three roots of unity: $1$, $e^{i \frac{2\pi}{3}}$, and $e^{i \frac{4\pi}{3}}$ (which correspond to three evenly spaced points on the unit circle).

3. Re: Not sure how to solve this trig problem dealing with the three roots of one

So is 1/2 the answer?

4. Re: Not sure how to solve this trig problem dealing with the three roots of one

Originally Posted by derek1008
So is 1/2 the answer?
...

Where did you get 1/2 from? Is (1/2)^3 - 1 really equal to zero?