Parametric Equations

A curve is defined by the parametric equations

2\cos\theta \text{ and } y = 2\sin\theta \quad \text{where } 0 \le \theta \le 2\pi

Which of the options shown below is a Cartesian equation for this curve?

$yx=tan⁡θ\frac{y}{x} = \tan \theta$

$x^2 + y^2 = 4$

$x^2 - y^2 = 4$

$x^2 + y^2 = 2$

[3]

A curve is defined by the parametric equations

2\cos\theta \text{ and } y = 2\sin\theta \quad \text{where } 0 \le \theta \le 2\pi

Which of the options shown below is a Cartesian equation for this curve?

$yx=tan⁡θ\frac{y}{x} = \tan \theta$

$x^2 + y^2 = 4$

$x^2 - y^2 = 4$

$x^2 + y^2 = 2$

[3]

Parametric Equations Questions