The periodic sawtooth waveform in the figure below can be ex

The (periodic) sawtooth waveform in the figure below can be expressed as

Determine the Fourier coefficients ck. ?

Please give detail steps thank you

The (periodic) sawtooth waveform in the figure below can be expressed as x(t) = 2/pi [sin (pi t) - 1/2 sin(2 pi t) + 1/3 sin(3 pi t) + 1/3 sin(3 pi t) - 1/4 sin(4 pi t) +.. .] Determine the Fourier coefficients c_k.

Solution

If xT(t) is a sawtooth wave with A=1, the values for bn are given in the table below

n ck
1 0.6366
2 -0.3183
3 0.2122
4 -0.1592
5 0.1273
6 -0.1061
7 0.0909
The (periodic) sawtooth waveform in the figure below can be expressed as Determine the Fourier coefficients ck. ? Please give detail steps thank you The (period

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