MATH

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Which of the following expressions is a sixth root of unity?

1. i
2. -1
3. -i
4. All of the above are correct

I appreciate the help.

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asked by Hali

  1. e^0 i = cos 0 + i sin 0 = 1 that does not help much

    e^2 pi i = cos 2pi + i sin 2pi = 1

    so
    1^(1/6) e^(2 pi/6)i
    2 pi/6 = pi/3 = 60 deg
    so cos theta + i sin theta
    0 deg 1
    60 deg
    120 deg
    180 deg -1
    240 deg
    300 deg
    none of these is along the i axis so i and -i are out
    only 2. which is -1 at 180 degrees is in

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    posted by Damon

  2. thank you so much!!!

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    posted by Hali

  3. You are welcome :)

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    posted by Damon

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