The point

P

with polar coordinates

(r, θ)

is such that

OP = r

and the angle between the x-axis and the line through

OP

θ

measured counter clockwise. Equivalently if

P

has Cartesian coordinates

(x, y)

then

x = r \cos θ

and

y = r \sin θ

The question asks for an explanation of the features of the graph. If you want to use a software package to sketch the graph you may want to download the shareware graphing software Graphmatica .