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When a circle rolls on the inside of a fixed circle, any point P on the circumference of the rolling circle describes a hypocycloid. Let the fixed circle be x^2+y^=1, let the radius of the rolling circle be 1/4, and let the initial position of the tracing point P be A(1,0). Show that the parametric equations (using the parameter angle θ) of hypocycloid is x= cos^3 θ, y= sin^3 θ.
