De Moivre's Theorem for Trig Identities

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De Moivre's theorem, along with the binomial theorem, can be used to expand functions like or , where is an integer, into a sum of powers of trig functions consisting of a mixture of sines and cosines. In some cases it is possible to rewrite the expansion such that it contains all sines or all cosines by making use of the identity .

Contributed by: Michael Croucher (March 2011)
Open content licensed under CC BY-NC-SA


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