Match the Graph to a Set of Parametric Equations $$x = 2 \cot \theta$$

Multiple Choice

Match the graph to a set of parametric equations.

A) Witch of Agnesi:
$$x = 2 \cot \theta$$
$y = 2 \sin ^ { 2 } \theta$
B) Lissajous curve:
$$\begin{array} { l } x = 3 \cos \theta \\y = \sin 2 \theta\end{array}$$
C) Involute of circle:
$$\begin{array} { l } \\x = \cos \theta + \theta \sin \theta \\y = \sin \theta - \theta \cos \theta\end{array}$$
D) Evolute of ellipse:
$$x = 3 \cos ^ { 3 } \theta$$
$$y = 5 \sin ^ { 3 } \theta$$
E) Serpentine curve:
$$\begin{array} { l } x = \cot \theta \\y = 6 \sin \theta \cos \theta\end{array}$$