Question

convert the equation into polar form.
y=3x^2

Answer 1

What is the conversion formula for x in terms of r and theta and the conversion formula for y in terms of r and theta?

Answer 2

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

Answer 3

Exactly ... now just substitute. those in and simplify

Answer 4

I don't know how to set it up :(

Answer 5

\[r \sin \theta = 3r^2 \cos^2 \theta\]

is probably sufficient, although it can be simplified further in the form r = f(theta)

Answer 6

One could end up with polar equation r = (1/3)tanθsecθ