Consider C-T,π]) with the inner-product and S ≤ C([—”,π]) be 1 П (f|g) = + _ f ( x ) g ( x ) d x 2πT S = {sin(nx), cos(mx) : m, n > 0}, verify that S is an orthogonal set in C([-T, π]). Some trigonometry identities that might be useful are: sin(A) sin(B) = - · [cos(A – B) – cos(A + B)] and cos(A) cos(B) = [cos(A – B) + cos(A + B)] 2 2