# How do you graph #r = 2cos2θ#?

##### 1 Answer

Jul 18, 2018

See the lemniscate-like graph and details..

#### Explanation:

As

The period is

In one period, r >= 0, for one half only.

For Socratic graph, use

to get the Cartesian equation

The graph is immediate. Two loops created, in two complete

rotations and the same repeated, for further rotations.

graph{(x^2+y^2)^1.5-2(x^2-y^2)=0[-4 4 -2 2]}.