## anonymous one year ago The graph of a limacon curve is given. [-5, 5] by [-5, 5]

1. anonymous

2. anonymous

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

3. anonymous

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

4. anonymous

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