# How do you graph #r=3+2costheta#?

##### 1 Answer

Jul 23, 2018

See the graph of this dimpled limacon and details.

#### Explanation:

This limacon

The pole r = 0 is outside.

As r is f ( cos theta ) = f ( cos (- theta ))#, the graph is symmetrical

about the initial line

Use

and

The Socratic graph of this dimpled limacon is immediate.

graph{ ( x^2 + y^2 ) - 3 sqrt ( x^2 + y^2 ) - 2 x =0}