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1. Homework Statement

1. Homework Statement

Eliminate the parameter to find the Cartesian equation of x = (1/2)cos(θ) y = 2sin(θ)

## Homework Equations

x^2 + y^2 = 1 (eq of circle)

## The Attempt at a Solution

First approach: x^2 + y^2 = (1/4)cos^2(θ) + 4sin^2(θ) = ?

I can't get rid of θ because the constant preceding cosine and sine are not equal.

2nd try: y/x = 2sin(θ)/(0.5cos(θ)) = 4 * (sin(θ)/cos(θ)) = y/4x = tan(θ), so θ = arctan(y/4x)

But θ is still there. I need an answer in x and y.

Thank you for your help.