Well the teacher didn't get to this section and teaching myself did not work well lol.. I partly understand to an extent.

The first example goes like

Sketch the graph of the equation r = 3/(2-2sinθ)

Now I doubt you'd be able to graph on this website, but I am wondering how to get to it.

I know that, R= 3/(2-2sinθ) then R=3/2(1-sinθ) therefore R= (3/2) / 1-sinθ

and since a=1, it is a parabola

the next step goes likeθRbut how do you work that into a graph?

Second, would be ... Find an equation for the conic section r=1/(1+3sinθ) and i am less confident what to do on this part...