Probably is requested the Fourier expansion of the output of a 'full wave rectifier' ...
The function is 'even' so that there are only the terms in 'cosine' and is...
Im asked to write sine AND cosine series of
*what does that mean? i thought the fourier series can exist for the sine part being 0 OR the cosine being 0 OR both sine and cosine being included in the formula.. how do i do then one SINE and another COSINE serie of the same function?
*Im confused with the condition: first of all it doesn't look like a periodic function to me, but im supposed to do a fourier transform on it...
if i imagine it's a periodic function(somehow) then:
*how does the function look like? is it the positive parts of sine one next to the other, thus with period = ... or is it the complete sine with a constant 0 put in between the positive parts thus the period would be ?
*Also, how do i know what the function looks like on x < 0 ? (considering it is periodic, is the function even or odd or none of these?