16. Parametric Equations & Polar Coordinates

Convert each equation to its polar form.

$y-x=6$

Convert each equation to its polar form.

$3y-5x=2$

Convert each equation to its polar form.

$x^2+y^2=2y$

Convert each equation to its polar form.

$x^2+(y-2)^2=4$

Convert each equation to its rectangular form.

$r=-4\cos\theta$

Convert each equation to its rectangular form.

$r=\frac{2}{1-\sin\theta}$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=4\sin2\theta$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=3+2\cos\theta$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r^2=-25\cos2\theta$

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=1-\sin\theta$

Graph $r=2-2\cos\theta$

Graph $r=1+2\sin\theta$

Graph $r=3\cos4\theta$

Graph $r^2=9\sin2\theta$