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Upgrading from:
New function FourierDCT has been added to the built-in Mathematica kernel.New function FourierDST has been added to the built-in Mathematica kernel.
Evaluate the discrete Fourier cosine transform of Type I using FourierDCT[data,1]:
Evaluate the discrete Fourier sine transform of Type I using FourierDST[data,1]: