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Describe the motion of a particle with position $ (x, y) $ as $ t $ varies in a given interval.

$ x = \sin t $, $ \; y = \cos^2 t $, $ \; -2\pi \leqslant t \leqslant 2\pi $

SEE ANIMATION SHOWING MOTION OF PARTICLE

Calculus 2 / BC

Chapter 10

Parametric Equations and Polar Coordinates

Section 1

Curves Defined by Parametric Equations

Parametric Equations

Polar Coordinates

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Campbell University

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