- #1
sommerfugl
- 2
- 0
Hello
I'am a little confused. In my textbook 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 textbook 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?!