# Parametric Equations and Polar Coordinates

### Problems

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(3θ) ; e) r = .

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

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

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(3θ) ; d) r = 1 - cos(θ) ; e) r = 2θ .

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