Fourier series odd and even functions

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The discussion centers on the confusion surrounding the application of Fourier series to specific functions, particularly regarding odd and even functions. Participants express uncertainty about the necessary information for expanding a function into a Fourier series, specifically the function f(x) in question. There is a focus on the definition of Fourier series and its application, with some participants seeking clarification on why sine terms are included in the expansion. The conversation highlights the need for a clearer understanding of the steps involved in deriving a Fourier series. Overall, the thread emphasizes the importance of foundational knowledge in Fourier series for effective problem-solving.
robertjford80
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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.
 
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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.
 
The "step above" is just applying the definition of the Fourier series:
Are you saying you do not know what that is?
 
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.
 
robertjford80 said:
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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