9. Polar Equations

Which of the following best describes the graph of the polar equation $r=2-2\cdot \sin \left(\theta \right)$?

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

$r=4\(\sin\)2\(\theta\)$

Given the limaçon $r=1+2\cos \left(\theta \right)$, find the area that lies inside the larger loop and outside the smaller loop.

Which of the following best describes the graph of the polar equation $r=1+\cos (25\theta )$?

Which of the following best describes the graph of the polar curve $r=4\cos \left(3\theta \right)$?

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\)$

Graph $r=1+2\(\sin\]\theta\)$

Graph $r=3\(\cos\)4\(\theta\)$

Graph $r^2=9\(\sin\)2\(\theta\)$

Match each equation with its polar graph from choices A–D.

r = cos 3θ

Match each equation with its polar graph from choices A–D.

r = cos 2θ

Match each equation with its polar graph from choices A–D.

r = 2/(cosθ + sinθ)