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First the transform is even and therefore we can use the

Show that the pulse function in (4.11.9a) has the transform given in (4.11.9b). The proof is lengthy. However there are few shortcuts we can make use of. First, the transform is even and therefore we can use the real integrals. Since the integrand has products of cosine functions, use the trigonometric formulas to simplify the integrands.

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