Chapter 9: Q. 40 (page 583)

Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 2 - 2 \cos θ$

Short Answer

Expert verified

$r = 2 - 2 \cos θ$

Step by step solution

Step 1. Given information

$r = 2 - 2 \cos θ$

Step 2. Replacing θ by -θ

$r = 2 - 2 \cos (- θ) r = 2 + 2 \cos θ$

graph is symmetric with polar axis.

Step 3. Replace θ by π-θ

$r = 2 - 2 \cos (π - θ) r = 2 + 2 \cos θ$

Graph may or may not be symmetric with

$θ = \frac{π}{2}$

Step 4. Replace r with -r

$r = 2 - 2 \cos θ - r = 2 - 2 \cos θ r = - 2 + 2 \cos θ$

Graph may or may not be symmetric with respect to pole

Step 5. Making the graph we get,

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Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 2 - 2 \cos θ$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Replacing θ by -θ

Step 3. Replace θ by π-θ

Step 4. Replace r with -r

Step 5. Making the graph we get,

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Identify and graph each polar equation. Verify your graph using a graphing utilityr=2-2cosθ

Short Answer

Step by step solution

Step 1. Given information

Step 2. Replacing θ by -θ

Step 3. Replace θ by π-θ

Step 4. Replace r with -r

Step 5. Making the graph we get,

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Decision Maths

Discrete Mathematics

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 2 - 2 \cos θ$