Fourier series odd and even functions

  • #1

Homework Statement



Screenshot2012-06-17at55656AM.png





The Attempt at a Solution



I don't understand the step above. It has something to do with this equation

Screenshot2012-06-17at55946AM.png


I think. I'm supposed to expand it into an appropriate fourier series.
 

Answers and Replies

  • #2
LCKurtz
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You haven't given us enough information. What is f(x)? You were probably given a function and asked to expand it in a sine series.
 
  • #3
HallsofIvy
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The "step above" is just applying the definition of the Fourier series:
Are you saying you do not know what that is?
 
  • #4
here is some more info

Screenshot2012-06-17at70852PM.png


Screenshot2012-06-17at70757PM.png


Screenshot2012-06-17at70808PM.png


I don't understand why they're adding the sin on to that last step.
 
  • #5
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I don't understand why they're adding the sin on to that last step.


What is the definition of a Fourier series?
 

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