   Chapter 12.6, Problem 6E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# SKILLS3-10 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 1 2 , directrix y = − 4

To determine

The polar equation of an ellipse.

Explanation

Given:

The eccentricity and directrix of the ellipse is as follows.

e=12 and y=4.

Approach:

Since the directrix is y=4, it is to the below to the focus. Thus the polar equation of ellipse is r=ed1ecosθ(1)

Calculation:

Substituting 12 for e and 4 for d in equation (1) as follows.

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