Convert the polar equation r sin thetacos2 theta to rectang

Convert the polar equation r = sin theta/cos^2 theta to rectangular form.

Solution

given r=sin/(cos²)

in polar coordinates x/r=cos, y/r=sin ,x²+y²=r²

r=(y/r)_/((x/r)²)

r=(y_/r)(r_/x)²

r=y(r_/x²)

1=y(1_/x²)

y=x² is the rectangular form