Question: Use the Fast Fourier Transform Algorithm to compute the trigonometric interpolating polynomial of degree 4 on [, ] for the following functions. a. f (x)

Use the Fast Fourier Transform Algorithm to compute the trigonometric interpolating polynomial of degree 4 on [−π, π] for the following functions.
a. f (x) = π(x − π)
b. f (x) = |x|
c. f (x) = cos πx − 2 sin πx
d. f (x) = x cos x2 + ex cos ex

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