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# nth roots of unity watch

1. I am currently doing a question which is finding the 6th roots of -729i and I must put them on the Argand diagram. I have found all of my roots which are 3e^(ipi/4), 3e^(i7pi/12), 3e^(i11pi/12), 3e^(i5pi/4), 3e^(i19pi/12), 3e^(i23pi/12) now my job is to plot them but I have no idea where to put the points, I know they need to be spaced by pi/3 radians but where do they lie?!?!
2. (Original post by gdickinson_)
I am currently doing a question which is finding the 6th roots of -729i and I must put them on the Argand diagram. I have found all of my roots which are 3e^(ipi/4), 3e^(i7pi/12), 3e^(i11pi/12), 3e^(i5pi/4), 3e^(i19pi/12), 3e^(i23pi/12) now my job is to plot them but I have no idea where to put the points, I know they need to be spaced by pi/3 radians but where do they lie?!?!
equally spaced, starting with one of the arguments
3. (Original post by gdickinson_)
I am currently doing a question which is finding the 6th roots of -729i and I must put them on the Argand diagram. I have found all of my roots which are 3e^(ipi/4), 3e^(i7pi/12), 3e^(i11pi/12), 3e^(i5pi/4), 3e^(i19pi/12), 3e^(i23pi/12) now my job is to plot them but I have no idea where to put the points, I know they need to be spaced by pi/3 radians but where do they lie?!?!
They are all in exponential form where is the modulus and is the argument.

The modulus and argument are enough to draw a complex number on an argand diagram.
4. How do I know what my first point is though, I think I can do it. I just am unsure how to plot my first point? What it is and where it goes?

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5. Doesn't matter I've got it, thanks!

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Updated: November 11, 2015
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