If X(k) is the DFT of the sequence x(n), determine the N-point DFTs of the sequences x_c(n) = x(n) cos(2??k_0n/N), 0 <= n <= N-1 and x_s(n) = x(n) sin(2??k_0n/N), 0 <= n <= N-1 in terms of X(k).
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