Answer
$(x,y)=(6\cos t, 6\sin t)$
Work Step by Step
The parametric equations that generate a circle centered at the origin with radius $6$ are $$x= 6 \sin t, \quad y=6 \cos t$$ That is $(x,y)=(6\cos t, 6\sin t)$ and satisties $$x^2+y^2= 36.$$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 10 - Parametric and Polar Curves - 10.1 Parametric Equations - 10.1 Exercises - Page 715: 2
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