SOLUTION:  Use de Moivre’s theorem to obtain solutions to i z^n=i for n=3,4,5.  Use graphing software to represent each of these solutions on an Argand diagram.  Ge

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION:  Use de Moivre’s theorem to obtain solutions to i z^n=i for n=3,4,5.  Use graphing software to represent each of these solutions on an Argand diagram.  Ge      Log On


   

Question 816229:  Use de Moivre’s theorem to obtain solutions to i z^n=i for n=3,4,5.
 Use graphing software to represent each of these solutions on an Argand diagram.
 Generalize and prove your results for Z^n=a+ib , where |a=bi|=1
 What happens when |a=bi|is not equal to 1?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I just found cube roots of i for someone else. That solution should help you with the first part of your problem. Click here to see it.