Graphs in Polar Coordinates

$$r=1+\cos2\theta$$

$$r=\cos2\theta$$

$$r=1+\cos\theta$$

$$r=1-\cos\theta$$

$$r=\cos3\theta$$

$$r=3\cos\theta$$

$$r=3\sin\theta$$

$$r=\sin3\theta$$

$$r=1.5\ +2\cos\theta$$  

$$r=1.5\ -2\cos\theta$$  

$$r=2+1.5\cos\theta$$  

$$r=2+1.5\sin\theta$$  

Rose with 4 leaves, Length 3

Rose with 3 leaves, Length 4

Rose with 8 leaves, Length 3

Circle with a diameter of 12

r = sin 4θ

r = 6 sin 2θ

r = 6 cos 2θ

r = cos 4θ

9

18

8

17

r = 4

$$r=4\theta$$

$$\theta=4$$

$$\theta=\frac{\pi}{4}$$

the polar axis

the radial axis

$$\theta=\ \frac{\pi}{2}$$  

the pole

nothing