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January 7th, 2009, 09:44 PM

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Quote:

Originally Posted by dixie

for which n is i an nth root of unity?

hmm, thanks

The nth roots of unity are $\cos \left( \frac{2 \pi}{n}\right) + i \, \sin \left( \frac{2 \pi}{n}\right)$ .

So you require the integer values of n such that $\sin \left( \frac{2 \pi}{n}\right) = 1 \, ....$

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