Identify the type of graph and then sketch the graph of the given polar equation

Question

𝑟=3sin𝜃

Type of graph:

Hello! I am having big trouble identifying the graph and especially the part where I have to graph it. What do I do? What does the sketch look like?

Answer 1

Get Into it Y,

The graph of r= 3 sin θ is just a circle that looks like it sits on top of the origin of a polar graph. I think you need to do a number of polar graphs before you can easily visualize what they'll come out looking like, but using the points you know for 3 sin θ, this one is pretty easy to plot. We know a few exact values: (0,0), (π/6,3/2), (π/2,3), etc. Graph the points that you know, estimate the others, and you should see a shape.

I hope this helps!

Let me know if you have any more questions, and have fun mathing!

Liz Z.