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2. In this problem, you are to consider the integers m, n = 0, 1, 2, ... By explicitly calcu- lating the integrals, show that

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2. In this problem, you are to consider the integers m, n = 0, 1, 2, ... By explicitly calcu- lating the integrals, show that (a) MTTX [ L m = n+0 COS COS dx L L L 1 0 m t n (b) L N TT OC L m = n#0 sin sin dx -L L L 0 m t n Hint: Recall the trigonometric identities: cos(a) cos(B) = NIK (cos(a - B) + cos(a + B) ) sin (a) sin(B) = (cos(a - B) - cos(a + B))

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