Question

change r = 6 sin^2 theta to cartesian form.​

Answer 1

The relation between polar coordinates

(r,θ)

and rectangular coordinates

(x,y)

are given by

x

=

rcostˆa and

y=rsinθ

and hence

r=√x2+y2

Hence

r=6sinθ

is nothing but

r×r=6sinθ×r

or

r2=6rsinθ

or

x2+y2=6y

or

x2+y2−6y=0

graph{x^2+y^2-6y=0 [-10, 10, -2.32, 7.68]}