**Problem : **
Do the rules of symmetry show that the following polar graph is symmeric
with respect to either the pole, the polar axis, or the line
*θ* =
?

a)
*r* = cos(*θ*) + 2
.

b)
*r* = 2 sin(*θ*)
.

c)
*r* = 7
.

d)
*r* = 2 cos(3*θ*)
; e)
*r* =
.

b)

c)

d)

e)

**Problem : **
What is the maximum value of
| *r*|
for the following polar equations: a)
*r* = cos(2*θ*)
; b)
*r* = 3 + sin(*θ*)
; c)
*r* = 2 cos(*θ*) - 1
.

b) The maximum value of |

c) The maximum value of |

**Problem : **
Find the intercepts and zeros of the following polar equations: a)
*r* = cos(*θ*) + 1
; b)
*r* = 4 sin(*θ*)
.

b) Polar axis intercepts: (

**Problem : **
Decide whether each of the following polar graphs is a limacon, a rose
curve, a spiral, a circle, or none of these: a)
*r* = 2 + cos(*θ*)
; b)
*r* = 2
; c)
*r* = sin(3*θ*)
; d)
*r* = 1 - cos(*θ*)
; e)
*r* = 2*θ*
.

b)

c)

d)

e)