Chapter 10 - Section 10.1 - Curves Defined by Parametric Equations - 10.1 Exercises - Page 645: 12

${\frac{x^{2}}{1/4}}+{\frac{y^{2}}{4}}=1\;\;(e l l i p s e\;e q u a t i o n)$

a) $2x=\cos\left(\theta\right)$ ${\frac{y}{2}}=\sin\left(\theta\right)$ $4x^{2}+{\frac{y^{2}}{4}}=\cos\left(\theta\right)^{2}+\sin\left(\theta\right)^{2}=1$ ${\frac{x^{2}}{1/4}}+{\frac{y^{2}}{4}}=1\;\;(e l l i p s e\;e q u a t i o n)$