In Problem 62, we graphed the hypocycloid. Now graph the rectangular equations of the hypocycloid. Did you

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In Problem 62, we graphed the hypocycloid. Now graph the rectangular equations of the hypocycloid. Did you obtain a complete graph? If not, experiment until you do. 


Data From Problem 62.

The hypocycloid is a curve defined by the parametric equations 

x(t) = cos3t, y(t) = sin3 t, 0 ≤ t ≤ 2π

(a) Graph the hypocycloid using a graphing utility. 

(b) Find a rectangular equation of the hypocycloid.

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Related Book For  answer-question

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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