Select the Parametric Equations Matching with the Following Graph $x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \theta \cos \theta )$

Multiple Choice

Select the parametric equations matching with the following graph.

A)
Involute of circle: $x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \theta \cos \theta )$
B)
Involute of circle: $x = \frac { 1 } { 3 } ( \cos \theta - \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta + \cos \theta )$
C)
Involute of circle: $x = \frac { 1 } { 3 } ( \cos \theta - \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \theta \cos \theta )$
D) Involute of circle: $x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta + \theta \cos \theta )$
E)
Involute of circle: $x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \cos \theta )$