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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