I'm trying to find the value of .

Expressing in the form , we have:

Which gives:

Then using De Moivre's theorem:

But that is just one solution. How do you get the rest?

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- January 6th 2010, 05:08 PMCaptchaRoots of unity.
I'm trying to find the value of .

Expressing in the form , we have:

Which gives:

Then using De Moivre's theorem:

But that is just one solution. How do you get the rest? - January 6th 2010, 07:54 PMChris L T521
- January 8th 2010, 06:45 PMCaptcha
- January 8th 2010, 06:51 PMChris L T521
- January 8th 2010, 06:54 PMProve It
Recall that by definition of ...

- January 8th 2010, 07:15 PMCaptcha
- January 8th 2010, 07:28 PMProve It
- January 8th 2010, 07:49 PMCaptcha
- January 8th 2010, 08:32 PMCaptcha
Hey, I've a follow-up question: What guarantees that all the nth roots of unity will lie between and ?

- January 8th 2010, 08:58 PMProve It
- January 9th 2010, 06:05 PM.::MadMaX::.
Yea you did have verry same problem :) Glad that we solve it!