16. Parametric Equations & Polar Coordinates

Convert the point to polar coordinates.

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

Convert each equation to its rectangular form.

$r=-4\(\cos\)\(\theta\)$

Convert each equation to its polar form.

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

Convert the point to rectangular coordinates.

$(4,\(\frac{\pi}{6}\))$

Graph $r=3\(\cos\)4\(\theta\)$

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\(\theta\)$

Plot the point on the polar coordinate system.

$(6,-\(\frac{11\pi}{6}\))$

Convert each equation to its polar form.

$3y-5x=2$

Plot the point $(5,-\(\frac{\pi}{3}\))$, then identify which of the following sets of coordinates is the same point.

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

$r=3+2\(\cos\)\(\theta\)$

Convert the point to polar coordinates.

$(0,5)$

Convert the point to rectangular coordinates.

$(-2,-\(\frac{\pi}{4}\))$

Plot the point on the polar coordinate system.

$(-3,-90°)$