The curve in $\displaystyle \mathbb{R}^2$ given by $\displaystyle r = sen(2\theta)$. Prove that is constructed exactly by the roots of the polynomial
$\displaystyle (X^2+Y^2)^3 - 4X^2Y^2$
thanks!
The curve in $\displaystyle \mathbb{R}^2$ given by $\displaystyle r = sen(2\theta)$. Prove that is constructed exactly by the roots of the polynomial
$\displaystyle (X^2+Y^2)^3 - 4X^2Y^2$
thanks!