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We find the trigonometric Fourier series (TFS) and compact TFS (CTFS) for a periodic "pulse-train" waveform.

Since the signal is even, the sinusoid components of the TFS are zero and thus bn = 0 for all n. Only the a0 and an coefficients terms need to be computed.

After computing the TFS, we also find the CTFS by both using the regular equations and also using a trigonometric identity to turn each sine term of the TFS into the desired cosine term of the CTFS.

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