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

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

    Solve. z to the third power -1=0
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  2. #2
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    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).
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    Re: Not sure how to solve this trig problem dealing with the three roots of one

    So is 1/2 the answer?
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    Re: Not sure how to solve this trig problem dealing with the three roots of one

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

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