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

• Nov 11th 2012, 10:37 AM
derek1008
Not sure how to solve this trig problem dealing with the three roots of one
Solve. z to the third power -1=0
• Nov 11th 2012, 11:29 AM
richard1234
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).
• Nov 11th 2012, 12:02 PM
derek1008
Re: Not sure how to solve this trig problem dealing with the three roots of one
• Nov 11th 2012, 12:49 PM
richard1234
Re: Not sure how to solve this trig problem dealing with the three roots of one
Quote:

Originally Posted by derek1008

...

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