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Fourier Series

  • Thread starter Luongo
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  • #1
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1. We are supposed to find a fourier series knowing only f(t)= acos(kt)+bcos(kt)
and some values of fourier coefficients...

please see #2 on this link http://www.math.ubc.ca/~oyilmaz/courses/m267/hmk3.pdf [Broken]




2. im using ck=1/2pi [tex]\intf(t)e-ikt[/tex]dt



3. are we supposed to convert f(t) into expnential form? i got 4 different expos thus 4 integrations, i have no idea which method i should solve it...
 
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Answers and Replies

  • #2
LCKurtz
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You only have 5 nonzero coefficients. Write out the 5 term complex series and then change it to a sine-cosine series using e = cos(θ) + i sin(θ) and collecting terms.
 

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