Question

Transform the polar equation to an equation in rectangular coordinates: r = 8sin(Theta). Write an equation in rectangular coordinates.

Answer 1

use r^2=x^2+y^2
and r sin(theta)=y
and r cos(theta)=x
and tan(theta)=y/x

hint: you will only need two of these

Answer 2

for this one

Answer 3

another free hint: multiply both sides by r