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**1. Homework Statement**

Find and verify parametric equations for an ellipse.

**2. Homework Equations**

x=acost

y=bsint

**3. The Attempt at a Solution**

lets say the equation is x=3cost, y=3sint, domain: 0 to 2pi

x2 y2

-- + -- = 1

a2 b2

point does verify when t=0 x=3, y=0 which =1

any help?