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91Ó°ÊÓ

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

r=2+sinθ

Short Answer

Expert verified

r=2+sinθ

Step by step solution

01

Step 1. Given information

r=2+sinθ

02

Step 2. Replacing θ with -θ for polar axis 

r=2+sin-θr=2-sinθ

graph is symmetric with polar axis

03

Step 3. Replace θ by π-θ

Graph may or may not be symmetric withθ=π2

04

Step 4. Replace r by -r

r=2+sinθ-r=2+sinθr=-2-sinθ

Graph may or may not be symmetric with respect to pole

05

Step 5. Making the graph we get,

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