Describe the motion of the particle with position (x,y) as t varies over the given interval.(adsbygoogle = window.adsbygoogle || []).push({});

x=2+cost y=3+sint

where t is greater than or equal to 0 and less than or equal to 2 pi

i've tried to eliminate t and came up with

y=3+sin(arccos(x-2))

i don't know if this is even right, but if it is, i'm not too sure how to describe the motion. picking random points came up with a very strange graph. i am concerned because all of the other questions in this section had graphs which were circles or ellipses.

any advice?

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# Parametric equations for particle motion

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