Understanding Complete Function Expansion: A Confusing Concept

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flufypancakes
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i thought i understand it but i guess i don't...


you can expand a function in cosine f.s., sine f.s. and complete f.s. on some [0..L]. i thought that the coefficients a_n and b_n for complete expansion would come from sines and cosines respectively, but i guess that wouldn't make sense, since then your function will just double when expanded with complete f.s.

can someone explain this point to me please.
 
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