If a conic section is written as a polar equation, and the denominator involves sin theta, what conclusion can be drawn about the directrix?

illusiia

illusiia

Answered question

2020-11-11

If a conic section is written as a polar equation, and the denominator involves sin θ, what conclusion can be drawn about the directrix?

Answer & Explanation

hosentak

hosentak

Skilled2020-11-12Added 100 answers

IF a conic has a focus at the origin, directrix y=± p and with a positive real number e as the eccentricity, then the polar equation of the conic is given by r=ep1 ± e sinθ So when there is sinθ in the denominator, the directrix is the form y= ± p i.e. it is parallel to x-axis.

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