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Homework Statement
f(t)=sin(|6t|), −pi<t<pi
with f(t) = f(t+2pi)
Homework Equations
Show that the Fourier series for f(t) can be written as (24/pi) time the sum, from n=0 to infinity, of ( 1/( 36 - (2k+1)^2 ) )cos(2k+1)t.
The Attempt at a Solution
I have an answer of a0 being 0, and a guess that an is also zero, however i cannot onfirm this since i don't know how to do the integral of [sin(nt)6cos(6t)].
I run into a similar problem with bn, getting stuck at the integral of [sin(6t)sin(nt)]
any help would be much appreciated