Answer
a)
$x =\dfrac {4\cos \theta }{2-\cos \theta }$
$y=\dfrac {4\sin \theta }{2-\cos \theta }$
b) graph is shown in the picture
Work Step by Step
a)
$x=r\cos \theta =\dfrac {4\cos \theta }{2-\cos \theta }$
$y=r\sin \theta =\dfrac {4\sin \theta }{2-\cos \theta }$
b) graph is shown in the picture