Question: Determine the discrete least squares trigonometric polynomial Sn(x) on the interval [, ] for the following functions, using the given values of m and n:

Determine the discrete least squares trigonometric polynomial Sn(x) on the interval [−π, π] for the following functions, using the given values of m and n:
a. f (x) = cos 2x, m = 4, n = 2
b. f (x) = cos 3x, m = 4, n = 2
c. f (x) = sin x/2 + 2 cos x/3 , m = 6, n = 3
d. f (x) = x2 cos x, m = 6, n = 3

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