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I don't know if it's been asked before (if it has please give me the link), and I don't understand latex or anything so I'll write it in plain words: $$ f(x) = \begin{cases} x & \text{for } -\frac{\pi}{2} \leq x \leq \frac{\pi}{2} \\ π-x & \text{for } \frac{\pi}{2}< x \leq \frac{3π}{2} \end{cases} $$ Find the Fourier series. I feel like the function is odd so it should be simple but I keep messing it up.

Matti P.
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Abdul Qadeer
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  • Please show what you have done. – Kavi Rama Murthy Jul 24 '20 at 11:36
  • Ok so I found a_0 = 0 using L = 2π and solving on the interval [-π/2,3π/2] but my a_n ends up as a long line: (2/πn^2)(cosnπ/4) - (2/πn^2)(Cos3nπ/4) -(1/2n)(Sin nπ/4) - (1/2n)(Sin3nπ/4) and idk how to simplify that. Sorry if it's unreadable, I'd really appreciate it if someone did it all from the start. – Abdul Qadeer Jul 24 '20 at 11:49

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