Rose curve in polar coordinates.
Rendering
\usepackage{pgfplots}
\pgfplotsset{compat=1.17}\usepgfplotslibrary{polar}
\begin{tikzpicture}
\begin{polaraxis}[
width=6cm,
xlabel={$\theta$},
ylabel={$r$}
]
\addplot[domain=0:360, samples=73, thick] {sin(4*x)};
\end{polaraxis}
\end{tikzpicture}