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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: <em>eliminate parameter parametric equation curve circle circumference sine cosine sin cos trigonometric trig relation identity algebra calculus</em>