Identify and state the symmetries for each polar equation. Write the scale that you are using for the polar axis.

a. r = 1 - 2cosΘ

b. r^2=cos (2Θ)

Put (r,-θ) in first equation will give the same function so it is symmetric about X-asis

Then chose the values for theta as 0,π/6,π/2, ... you will get the value of r

r=1-2 cos theta is a bit tricky to graph because r represents radius and we normally think of radius as being zero or positive. You could find the domain on which 0≤1-2cosθ and graph that section of the curve first, figuring out what to do with negative r later.