Homework Help: Fourier series - question

1. May 19, 2012

Tomp

The problem statement, all variables and given/known data
f(x) = |sin x|, -pi < x < pi, f(x) = f(x + 2pi)

Determine the Fourier series of f(x)

The attempt at a solution
I am unsure how to evaluate an integral with absolute signs in it, however, I am wondering if I could reduce the bounds to 0<x<pi and and f(x) = sin x and assume an even function extension (cosine extension). When I sketch these I obtain the same graph.

Am I able to do this?

Last edited: May 19, 2012
2. May 19, 2012

vela

Staff Emeritus
Yes.

3. May 19, 2012

:) Thank you