You are given the following.
x = 2 cos θ, y = 3 sin θ, -π/2<= θ<= π/2
Eliminate the parameter to find a Cartesian equation of the curve.
The Attempt at a Solution
x=2cosθ ; cosθ=y
y=3sinθ ; sinθ=x
x=2y and 2y-x=0
y=3x and 3x-y=0
I'm pretty sure I went wrong somewhere...I have a feeling the equation is supposed to be a curve, not just a line. I'm in calculus I in college right now, but I basically had no pre-calc in high school, so I need to learn it while I go. Thanks.