(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given f(x) = 2x+1 periodic from -pi<x<pi. Find the fourier series from (-pi to pi) as well as the sine series from [0, pi] and cosine series from (0,pi)

2. Relevant equations

3. The attempt at a solution

So since f(x) is periodic it is odd, so then a0 and ak = 0.

for bk:

bk = 1/pi int f(x) sin kx from -pi to pi.

skipping forward, I get bk = [(-1)^ k][-4/k]

now im a bit confused about the sine and cosine series. I thought if f(x) was odd then it turns into a sine series automatically so isn't it basically the same thing as what I got?

And the cosine series should just be 0?

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# Homework Help: Fourier series (sine,cosine)

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