Parametric Equations

A curve has the parametric equations

3\sin^2 \theta, \quad y = 2\cos \theta, \quad 0 < \theta < \pi

a.

Find an expression for $dydx\displaystyle \frac{dy}{dx}$ in terms of $θ\theta$ .

[3]

b.

Find an equation of the normal to the curve when $θ=π3\displaystyle \theta = \frac{\pi}{3}$ .

[5]

c.

Find a cartesian equation for the curve.

[4]

A curve has the parametric equations

3\sin^2 \theta, \quad y = 2\cos \theta, \quad 0 < \theta < \pi

a.

Find an expression for $dydx\displaystyle \frac{dy}{dx}$ in terms of $θ\theta$ .

[3]

b.

Find an equation of the normal to the curve when $θ=π3\displaystyle \theta = \frac{\pi}{3}$ .

[5]

c.

Find a cartesian equation for the curve.

[4]

Parametric Equations Questions