Asked by homework
What's the polar equation of an ellipse given the eccentricity=1/2 directrix=y=? also how do i know if it is sin or cosine?
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Answered by
Steve
recall that the ellipse with eccentricity e and directrix x=d is
r = ed/(1 + e*cosθ)
If you have a y=d directrix then it uses sinθ
r = ed/(1 + e*cosθ)
If you have a y=d directrix then it uses sinθ
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