Complex Fourier Series

1. Aug 14, 2010

twoscoops

1. The problem statement, all variables and given/known data
Find the complex fourier series of the periodic function

f(t)=2sin(πt) 0 < t < 1 and f(t+1) = f(t) for all t. (π is pi)

2. Relevant equations

3. The attempt at a solution
ive tried many times using the forumla's and trying to rearrange to get exponentials but i always end up with something that looks really wrong, can someone point out any simplifications that can be made and do i need to integrate by parts (even though i cant see how that can be done). Any help will be greatly appriciated. Thanks

2. Aug 14, 2010

Whitishcube

I haven't worked with fourier analysis or complex variables, but I would say to work with the first equation, the c_n. You can use integration by parts by treating i and n as constants and plugging in f(t) into the spot for f(x). That's where I would start, since after you find c_n the rest is cake.