## Forms of Fourier Series

The following is a summary of the relationships between the three equivalent forms of Fourier series. First Form: Sines Only The first type of form we began with could be described as a "sines only" form: \[ \sum_{n=0}^{\infty} A_n\sin(2\pi nt+\phi_n). \] Here I'm including $n=0$, which gives a constant term $A_0\sin(\phi_0)$. Second [...]