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Chapter 9: Q. 40 (page 583)

Identify and graph each polar equation. Verify your graph using a graphing utility

r=2-2cos胃

Short Answer

Expert verified

r=2-2cos胃

Step by step solution

01

Step 1. Given information

r=2-2cos胃

02

Step 2. Replacing θ by -θ

r=2-2cos-胃r=2+2cos胃

graph is symmetric with polar axis.

03

Step 3. Replace θ by π-θ

r=2-2cos蟺-胃r=2+2cos胃

Graph may or may not be symmetric with

胃=蟺2

04

Step 4. Replace r with -r

r=2-2cos胃-r=2-2cos胃r=-2+2cos胃

Graph may or may not be symmetric with respect to pole

05

Step 5. Making the graph we get,

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