Question

Please transform the polar equation to an equation in rectangular coordinates.

rcsc(theta)=3

Answer 1

rcsc(theta) = 3
r/sin(theta) = 3
r =3sin(theta)

Now use the relation between polar coordinates and rectangular coordinates

x = rcos(theta)
y = r sin(theta)

=> x = [3sin(theta)]cos(theta)
     x = 3 sin(theta)cos(theta)

and y = [3sin(theta)]sin(theta)
       y = 3 [sin(theta)]^2