Eliminate the parameter. x = 3 cos t, y = 3 sin t

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Eliminate the parameter from the parametric equations:



The key is trying to find a relation between  x  and  y, so you can get rid of that parameter  t. See what happens if you square both equations:



Now, add them both, and you have:





That equation represents a circumference, whose center is at the origin (0, 0), and has a radius of  3.

I hope this helps. =)

Tags:  eliminate parameter parametric equation curve circle circumference sine cosine sin cos trigonometric trig relation identity algebra calculus