Question: The hypocycloid is a curve defined by the parametric equations x(t) = cos 3 t, y(t) = sin 3 t, 0 t 2

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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