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## Main Question or Discussion Point

Hello

I'am a little confused. In my text book it is written that all odd function can be described by a sine series.

I have this following equation from an exercise:

[tex]A_{0}+\sum\limits_{n=1}^\infty (A_{n} cos(n \phi) + B_{n} sin(n \phi))c^{n} = sin(\dfrac{\phi}{2})[/tex]

It's a standard fourier serie, where n and c is positive. T

hen it is written in the solution that [tex]B_{n}c^{n} = 0[/tex] because of symmetry reasons. And I'am confused because then the fourier serie only have cosine term and the function on the right hand side is an odd function?!

I'am a little confused. In my text book it is written that all odd function can be described by a sine series.

I have this following equation from an exercise:

[tex]A_{0}+\sum\limits_{n=1}^\infty (A_{n} cos(n \phi) + B_{n} sin(n \phi))c^{n} = sin(\dfrac{\phi}{2})[/tex]

It's a standard fourier serie, where n and c is positive. T

hen it is written in the solution that [tex]B_{n}c^{n} = 0[/tex] because of symmetry reasons. And I'am confused because then the fourier serie only have cosine term and the function on the right hand side is an odd function?!