Question

=3sinθ/2cos2θ

Which of the following gives the Cartesian form of the equation above?
Select the correct answer below:


y=2/3x2
2y4(x2+y2)=3x2
2x4(x2+y2)=3y2
y=√3/2x

Answer 1

Answer: correct answer is A 2/3x^2

Step-by-step explanation:Multiply each side of the equation by 2cos2θ to get 2rcos2θ=3sinθ.

Multiply each side of the equation by r to get 2r2cos2θ=3rsinθ. Using the relationships x=rcosθ and y=rsinθ, the equation becomes 2x2=3y.

Divide each side of the equation by 3 and reverse the order of the equation to find that y=2/3x^2