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    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?!?!
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    (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?!?!
    circle radius 3
    equally spaced, starting with one of the arguments
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    (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 re^{i\theta} where r is the modulus and \theta is the argument.

    The modulus and argument are enough to draw a complex number on an argand diagram.
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    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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    Doesn't matter I've got it, thanks!


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Updated: November 11, 2015

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