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(a) Sketch the curve by using the parametric equations to plot points. Indicat with an arrow the direction in which the curve is traced as $ t $ increases.

(b) Eliminate the parameter to find a Cartesian equation of the curve.

$ x = \sin t $, $ \quad y = 1 - \cos t $, $ \quad 0 \leqslant t \leqslant 2\pi $

(a) See graph

(b) $x^{2}+(y-1)^{2}=1$

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Oregon State University

Harvey Mudd College

University of Nottingham

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