Show that {1, cosx, cos(2x), cos(3x),...} is an orthogonal set in C[0, ] with respect to the

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Show that {1, cosx, cos(2x), cos(3x),...} is an orthogonal set in C[0, π] with respect to the inner product (f, g) = ∫n0 f(x)g(x)dx.
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