Answered: Hypocycloid The hypocycloid is a curve…

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Calculus

Hypocycloid The hypocycloid is a curve defined by the parametric equations x(t) cos t, y(t) = sin³ t, 0

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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Hypocycloid The hypocycloid is a curve defined by the
parametric equations
x(t)
cos t, y(t) = sin³ t, 0 <ts 27
%D
(a) Graph the hypocycloid using a graphing utility.
(b) Find a rectangular equation of the hypocycloid.

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