# Sinusoid
**A simple smooth [[Periodic Function|periodic]] oscillation defined in terms of the sine or cosine [[function]].**
> [!Sinusoid]
> $y(t)=A\sin(2\pi ft+\phi)=A\sin(\omega t+\phi)$
> - $A$ - *amplitude* or *peak value*
> - $f$ - *frequency*, $\text{Hz}$
> - $\omega$ - [[angular frequency]], radians per second
> - $\phi$ - [[phase]], radians or degrees.
![[Sinusoid.svg]]