Chapter 9: Q. 41 (page 583)

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

Short Answer

Expert verified

$r = 2 + \sin θ$

Step by step solution

Step 1. Given information

$r = 2 + \sin θ$

Step 2. Replacing θ with -θ for polar axis

$r = 2 + \sin (- θ) r = 2 - \sin θ$

graph is symmetric with polar axis

Step 3. Replace θ by π-θ

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

Step 4. Replace r by -r

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

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
$r = 2 + \sin θ$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Replacing θ with -θ for polar axis

Step 3. Replace θ by π-θ

Step 4. Replace r by -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+sinθ

Short Answer

Step by step solution

Step 1. Given information

Step 2. Replacing θ with -θ for polar axis

Step 3. Replace θ by π-θ

Step 4. Replace r by -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

Logic and Functions

Decision Maths

Discrete Mathematics

Calculus

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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