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Representing Periodic Functions by Fourier
We shall use this result shortly but need a few more integrals first. Consider next Z π −π cosntcosmt dt where m and n are integers. Using another trigonometric identity we have, for the case n 6= m, Z π −π cosntcosmt dt = 1 2 Z π −π {cos(n+m)t+cos(n−m)t}dt = 1 2 {0+0} = 0 using the integrals (4) and (5).
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