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= a_{1}sin x + a_{2}sin 2x+...+ a_{N}sin Nx[/tex]

show that the mth coefficient [tex]a_{m}[/tex] is given by the formula [tex]a_{m} = \frac{1}{\pi}\int f(x) sinmx dx [/tex]

I am really stumped by this one. I have not seen a problem like this anywhere in the trig integral section so far. I want a push in the right direction to get me started.

Also, since I don't know how to format it, the integral has limits of -pi to pi. What am I missing?