how to draw r^2=4sin(theta) , in polar coordinates ?

Question

anonymous · Answer

graphing calculator?

anonymous · Answer

Put in some simple $\theta$ values like $0,\pi/4,\pi/2$.  Find corresponding $r$ values.  Then just connect the dots.

anonymous · Answer

Alternatively $$
r^3=4r\sin\theta\implies  \left(\sqrt{x^2+y^2}\right)^3 = 4y
$$If you think this is easier to graph, you can do that.

anonymous · Answer

but you are saying r^3=4r ... I didnt write an "r" on the right side

jdoe0001 · Answer

solve for "r" and then  grab a few random $\theta$ 's to get the "r", plot away

keep in mind that the "r" is the DEPENDENT variable

anonymous · Answer

i know how to choose values to find r .. but then what to do ?? i mean how to plot it on the polar coordinate system ??

anonymous · Answer

Use a ruler.

anonymous · Answer

figure out what scale you want to use.

anonymous · Answer

i dont know what i'm doing :( ....

anonymous · Answer

graphing polar curve actually isn't easy. You will need to treat it like it's in rectangular form, and use it to sort of guess how it would look like in polar coordinate this guy explained very well in his youtube videos http://www.youtube.com/watch?v=mDT_DG_A0JA

anonymous · Answer

thanxs that is a good explination , though I was just watching a similar video by the same guy Lol