A pair of parametric equations is given. x = cos^3(t), y = sin^3(t), 0 ≤ t ≤ 2𝜋 Find a rectangular-coordinate equation for the curve by eliminating the parameter.

Answer 1

x^2/3 + y^2/3 = 1

Don't ask me for a method! I graphed the parametric equations, saw that the graph was NOT a function and symmetric about the origin. Then I figured I had to get to something with cos² and sin²...then I saw it!