I have some difficulties with solving this. Could you please help me out? I got not real solutions:S
You can see the picture attached.
The cut signal is the bolt, blue curve. Find Fourier coefficients to the cut signal when L=0.5.
Split the defining integrals for the coefficients into five pieces $\displaystyle 0$ to $\displaystyle \pi/6$, $\displaystyle \pi/6$ to $\displaystyle 5\pi/6$, $\displaystyle 5\pi/6$ to $\displaystyle 7\pi/6$, $\displaystyle 7\pi/6$ to $\displaystyle 11\pi/6$.