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

Chapter 8, Problem 15

(choose chapter or problem)

Show that the functions 0(x) = 1/2, 1(x) = cos x, ... , n(x) = cos nx, n+1(x) = sin x, ... , 2n1(x) = sin(n 1)x are orthogonal on [, ] with respect to w(x) 1.

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