sketch the curve with the given polar equation by first sketching the graph of r as a function of theta in Cartesian coordinates.
r = -2 sin theta

so i get how to graph it in cartesian coordinates but not how to sketch the curve thereafter..

Question

sketch the curve with the given polar equation by first sketching the graph of r as a function of theta in Cartesian coordinates.
r = -2 sin theta

so i get how to graph it in cartesian coordinates but not how to sketch the curve thereafter..

anonymous · Answer

Is there a difference between graphing and sketching that I'm missing out on?

shamil98 · Answer

same thing

shamil98 · Answer

second part is asking to graph it in polar coordinates by using the one from the first part

anonymous · Answer

I'm a little inclined towards rectangular coordinates, so oh well. :P
$$r^2 = -2r \sin \theta$$$$\Rightarrow x^2  + y^2 = -2x$$$$\Rightarrow x^2 + 2x + y^2 = 0$$$$\Rightarrow (x+1)^2 + y^2 = 1$$Familiar much?

anonymous · Answer

Ugh, I meant$$x^2 + (y+1)^2 = 1 $$

anonymous · Answer

Because $r \sin \theta = y$, not $x$. That was a bad mistake on my part.

shamil98 · Answer

oh right i forgot bout that method lol thanks

anonymous · Answer

no problem but you wouldn't be thanking us when the bangladeshi n00bs lose to us in the asia cup final <3