Identify the type of conic section given by the polar equation below. Also give the equation of its directrix (in rectangular coordinates is fine.) r = 8/4+ cos θ.

x = ±8

Step-by-step explanation:

A conic section with a focus at the origin, a directrix of x = ±p where p is a positive real number and positive eccentricity (e) has a polar equation:

From the question, the polar equation of the circle is:

We have to make the equation to be in the form of . Therefore:

This means that the eccentricity (e) = 1/4 and the equation of the directrix is x = ±8

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step-by-step explanation: