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Q. 38

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Precalculus Enhanced with Graphing Utilities

Found in: Page 583

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 1 + \sin θ$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

$r = 1 + \sin θ$

Step 2. Replacing θ by -θ

$r = 1 + \sin (- θ) r = 1 - \sin θ$

graph is symmetric with polar axis.

Step 3. Replace θ by π-θ

Graph is symmetric with line $θ = \frac{π}{2}$

Step 4. Replace r with -r

$r = 1 + \sin θ - r = 1 + \sin θ r = - 1 - \sin θ$

Graph may or may not be symmetric with respect to pole.

Step 5. Making the graph we get,

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 1 + \sin θ$

Step by Step Solution

Step 1. Given information

Step 2. Replacing θ by -θ

Step 3. Replace θ by π-θ

Step 4. Replace r with -r

Step 5. Making the graph we get,

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Identify and graph each polar equation. Verify your graph using a graphing utility r=1+sinθ

Step by Step Solution

Step 1. Given information

Step 2. Replacing θ by -θ

Step 3. Replace θ by π-θ

Step 4. Replace r with -r

Step 5. Making the graph we get,

Most popular questions for Math Textbooks

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Identify and graph each polar equation. Verify your graph using a graphing utility
$r = 1 + \sin θ$