16. Parametric Equations & Polar Coordinates

Convert the point to rectangular coordinates.

$(0,\frac{7\pi}{4})$

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.

$r=4\sin2\theta$

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.

$r=1-\sin\theta$