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Let f(x)=(2cosx-1)(2cos2x-1)(2cos2^2x-1)...

Let `f(x)=(2cosx-1)(2cos2x-1)(2cos2^2x-1)...(2cos2^(n-1) x-1),` (where `ngeq1)`. Then prove that `f((2pik)/(2^n+-1))=1 AAk in I`.

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