The parametric equations of a curve are: x = cos2θ y = sinθcosθ. Find the cartesian form of the equation.
x = cos2θ y = sinθcosθcos2θ = cos2 θ - sin2θ cos2 θ + sin2θ = 12cos2 θ = 1 + cos2θ cos2 θ = 1/2(1 + x)2sin2θ = 1 - cos2θ sin2θ = 1/2 (1 - x)y2= sin2θcos2 θy2= ( 1/2(1 + x)) . (1/2 (1 - x))4y2 = 1 - x2 x2 + 4y2 = 1
AN
