How do you graph r=8+6costheta?

1 Answer
Jan 5, 2017

Using Socratic graphic utility, the graph of the limacon could be inserted, for the cartesian form x^2+y^2=8sqrt(x^2+y^2)+6x.

Explanation:

r = 8 + 6 cos theta >=2.

As r(theta) = r(-theta), the graph is symmetrical about theta = 0 .

Range of r is from 2 to 14. 1-period ( theta in [-pi. pi]) is inserted.

graph{x^2+y^2-6x-8sqrt(x^2+y^2)=0x^2 [-24, 24, -12, 12]}