3-10 Finding a Polar Equation for a Conic Write a polar equation of a conic that has its focus at the origin and satisfies the given conditions.
Ellipse, eccentricity , vertex at .
The polar equation of an ellipse.
Vertex of ellipse is , eccentricity is , focus is at the origin and directrix is the parallel to the polar axis.
Write the standard equation of ellipse.
Focus is at the origin and vertex of ellipse is then directrix will be .
Substitute for and for in equation as follows
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