[Math] parametric equations with cubed sin and cos

parametrictrigonometry

It has been a while since I have had calc 3,

I know how to find the rectangular equation from parametric equations;

however, I do not remember how to find the rectangular equation

given these parametric equations: $x=\cos^3(\theta)$ and $y=\sin^3(\theta).$

Best Answer

Two thirds of a cube in exponent is a square , so comes the Astroid $ x^{\frac{2}{3}} + y^{\frac{2}{3}} =1. $

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