16. Parametric Equations & Polar Coordinates

Convert the point to polar coordinates.

$(0,5)$

Convert the point to polar coordinates.

$(-2,2)$

Convert the point to polar coordinates.

$(1,1)$

Convert the point to polar coordinates.

$(-1,-\(\sqrt{3}\))$

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\(\sin\)2\(\theta\)$

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\(\cos\)2\(\theta\)$

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

$r=1-\(\sin\]\theta\)$

Graph $r=2-2\(\cos\]\theta\)$