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: $x = 3 \cos \theta$ $y = \sin 2 \theta$
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) $\begin{array}{l} x=\cot \theta \ y=6 \sin \theta \cos \theta \end{array}$

Question

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: $x = 3 \cos \theta$ $y = \sin 2 \theta$ 
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) $\begin{array}{l} x=\cot \theta \ y=6 \sin \theta \cos \theta \end{array}$

Quizplus · Accepted Answer

The Answer of 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: $x = 3 \cos \theta$ $y = \sin 2 \theta$ 
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) $\begin{array}{l} x=\cot \theta \ y=6 \sin \theta \cos \theta \end{array}$

Match the Graph to a Set of Parametric Equations x=2cot⁡θx = 2 \cot \thetax=2cotθ

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