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## Homework Statement

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.

## Homework Equations

n/a

## The Attempt at a Solution

x=2cosθ ; cosθ=y

y=3sinθ ; sinθ=x

so..

x=2y and 2y-x=0

y=3x and 3x-y=0

2y-x=3x-y

3y=4x

**1=4x/3y**

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.