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Chapter 9: Q. 43 (page 583)

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

r=4-2cos胃

Short Answer

Expert verified

r=4-2cos胃

Step by step solution

01

Step 1. The given information is

r=4-2cos胃

02

Step 2. Replace θ by -θ

r=4-2cos-胃r=4-2cos胃

Test is satisfied, graph is symmetric with respect to polar axis.

03

Step 3. Replace θ by π-θ

r=4-2cos蟺-胃r=4+2cos胃

Graph may or may not be symmetric with

胃=蟺2

04

Step 4. Replace r by -r

r=4-2cos胃-r=4-2cos胃r=-4+2cos胃

Graph may or may not be symmetric with respect to pole

05

Making the graph we get

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Match the graph with the polar equation

rsin胃=2

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