Question: Show that the functions (0(x) = 1/2, (1(x) = cos x. . . (n(x) = cos nx, (n+1(x) = sin x, . . . ,

Show that the functions (0(x) = 1/2, (1(x) = cos x. . . (n(x) = cos nx, (n+1(x) = sin x, . . . , (2n−1(x) = sin(n − 1)x are orthogonal on [−π, π] with respect to w(x) ≡ 1.

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