Chapter 9: Q. 39 (page 583)

Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 3 - 3 \sin θ$

Short Answer

Expert verified

$r = 3 - 3 \sin θ$

Step by step solution

Step 1. Given information

$r = 3 - 3 \sin θ$

Step 2. Replacing θ with -θ for polar axis

$r = 3 - 3 \sin (- θ) r = 3 + 3 \sin θ$

graph is symmetric with polar axis.

Step 3. Replace θ with π-θ

$r = 3 - 3 \sin (π - θ) r = 3 - 3 \sin θ$

Graph may or may not be symmetric with $θ = \frac{π}{2}$

Step 4. Replace r with -r

$r = 3 - 3 \sin θ - r = 3 - 3 \sin θ r = - 3 + 3 \sin θ$

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
$r = 3 - 3 \sin θ$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Replacing θ with -θ for polar axis

Step 3. Replace θ with 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=3-3sinθ

Short Answer

Step by step solution

Step 1. Given information

Step 2. Replacing θ with -θ for polar axis

Step 3. Replace θ with 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

Discrete Mathematics

Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 3 - 3 \sin θ$