Question
Asked Nov 7, 2019
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Graph the polar equation

r=4/ 2-2 cos theta 

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Expert Answer

Step 1

Given:

4
Polar equation is r=-
2 2 cos
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4 Polar equation is r=- 2 2 cos

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Step 2

Calculation:

To graph the polar equation, we have to find the type of conic
ер
...)
The formula to find the conic type is r
1tecos
Where e is the eccentricity and p| is the distance between the focus and the directrix
If
e 1, the conic is ellipse
e 1, the conic is parabola
e 1, the conic is hyperbola
help_outline

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To graph the polar equation, we have to find the type of conic ер ...) The formula to find the conic type is r 1tecos Where e is the eccentricity and p| is the distance between the focus and the directrix If e 1, the conic is ellipse e 1, the conic is parabola e 1, the conic is hyperbola

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Step 3
The polar equation can be written as
4
r =
2-2cos
4
r =
21-cos)
2
(2)
1-cos 0
Comparing (1) and (2), we get
e =1
p =2
The value of e is 1, from this we concluded that the conic type is parabola
help_outline

Image Transcriptionclose

The polar equation can be written as 4 r = 2-2cos 4 r = 21-cos) 2 (2) 1-cos 0 Comparing (1) and (2), we get e =1 p =2 The value of e is 1, from this we concluded that the conic type is parabola

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Calculus

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