Parametric Equations and Polar Coordinates
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
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 .