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Hi. I'm trying to find a Fourier series for:

(sin(x))^2

It seems like it should be pretty easy but I'm having trouble getting the An term.

I've converted the (sin(x))^2 into terms of cos(2x), which seems like it should do something, but I'm not sure what. The integral still seems tough. Any help would be appreciated.

Thanks.

2007-01-11 17:38:27 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

Ah, thanks for the answers. I was making this a lot harder than it is.

2007-01-11 19:24:21 · update #1

3 answers

You don't need integrals in this case.

Check out the discussion regarding this problem at: http://www.physicsforums.com/archive/index.php/t-73415.html . That should guide you through the process.

If you're still confused after reading that, feel free to send me an e-mail and I can try to help you further.

Good luck!

2007-01-11 18:14:23 · answer #1 · answered by JoeSchmo5819 4 · 1 0

B.S. Grewal is a sturdy e book while it is composed of sequence (convergency, divergency, fourier and so on). in spite of the shown fact that it genuinely sucks in all different fields. additionally, fourier transforms are no longer lined. i'm undecided if the subject rely is provided in bigger engineering arithmetic by applying Kreyzsig, examine as quickly as. you additionally can use the video clips created by applying NPTEL. you will locate them on youtube.

2016-12-12 09:43:29 · answer #2 · answered by kulpa 4 · 0 0

you dont need to integrate fpor this

the series for sin(x) is known

multiply with itself to obtain the sin^2 series
the hrdest part will be to find the general coefficient I am sure you will see it

2007-01-11 19:21:24 · answer #3 · answered by gjmb1960 7 · 0 0

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