Question

The graph of a limacon curve is given.
[-5, 5] by [-5, 5]

Answer 1

How do I know what is the correct equation? I have a graphing calculator.

Answer 2

r = 2 + 2 sin θ
r = 3 + sin θ
r = 1 + 3 cos θ
r = 1 + 3 sin θ

Answer 3

Limacon with inner loop
\( \huge 0< a < b\)
\( \huge r = a \pm b \cos \theta \)

and

\( \huge r = a \pm b \cos \theta \)

By knowing those rules, we can rule out these two. r = 2 + 2 sin θ and r = 3 + sin θ. These are not the answer r = 2 + 2 sin θ and r = 3 + sin θ

So that leaves us with only two left, which are r = 1 + 3 cos θ and r = 1 + 3 sin θ

Well, since the graph is symmetric with the y axis, that means the answer is going to be r = 1 + 3 sin θ