Determine the polar equation of a hyperbola with the eccentricity of 3 and directrix y =2

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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Determine the polar equation of a hyperbola with the eccentricity of 3 and directrix y =2

Expert Solution
Step 1

Polar equation of hyperbola, when directrix is the line y=d is Trigonometry homework question answer, step 1, image 1, where e is for eccentricity and d is for directrix.

Step 2

Given values are,

eccentricity = 3

directrix = 2

so, the polar equation would be 

Trigonometry homework question answer, step 2, image 1

plugging the values,

Trigonometry homework question answer, step 2, image 2

    Trigonometry homework question answer, step 2, image 3

 

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