Rewrite the rectangular equation...

Question

Rewrite the rectangular equation y=4x² as a polar equation 

 

r(theta) = 

Answer 1

y= rsinA

x=rcosA

rsinA = 4r^2cos^2A

sinA =rcos^2A

r=sinA/cos^2A where A = theta = the angle

r =tanA/cosA

r = tanAsecA

r = tan(theta)sec(theta)