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## Square and symmetric triangle waves

Figure 10.6: Symmetric triangle wave, obtained by superposing parabolic waves with pairs equal to and .

To see how to obtain Fourier series for classical waveforms in general, consider first the square wave,

equal to for the first half cycle () and for the rest. We get the Fourier series by plugging in the Fourier series for twice:

The symmetric triangle wave (Figure 10.6) given by

similarly comes to