A Phasor is a [[Complex Numbers|Complex]] [[Function]] from the [[Real Numbers|reals]] to the [[Complex Plane|complex plane]] [[Sinusoidal Functions|sinusoidally]] (typically using the [[Complex Exponential]]). $\huge \begin{align} f: \R &\to \C\\ f(t) &= Ae^{i\omega t} \\ &=e^{\ln A + i \omega t} \\ &= re^{i\omega t} \end{align} $ Where $\omega$ is the [[Angular Frequency]] and $A$ is the [[Amplitude]].