# Sine (Series Definition)
# Colorized Definition
.c44f1f76.png)
\newcommand{\sinefunction}{\color{c1}}
\newcommand{\thetacolor}{\color{c2}}
\newcommand{\impulse}{\color{c3}}
\newcommand{\firstforce}{\color{c4}}
\newcommand{\secondforce}{\color{c5}}
\newcommand{\more}{\color{c6}}
$$\sinefunction \sin(x) = \impulse x \firstforce - \frac{x^2}{2!} \secondforce + \frac{x^4}{4!} \more + ...$$
\sinefunction Sine is \impulse an initial impulse, \firstforce with a restoring force,
\\
\secondforce with a restoring force on the restoring force, \more and so on.