Verify that if f is an even function of period T , then the
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Verify that if f is an even function of period T , then the Fourier sine coefficients bn of f are all zero and the Fouri
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Verify that if f is an even function of period T , then the Fourier sine coefficients bn of f are all zero and the Fourier cosine coefficients an of f are given by an D 4 T Z T=2 0 f .t / cos.n!t / dt; n D 0; 1; 2; : : : ; where ! D 2 =T: State and verify the corresponding result for odd functions f:
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