/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 78 In Problems 71鈥�80, graph each ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 78 (page 584)

In Problems 71鈥�80, graph each polar equation. Verify your graph using a graphing utility.

r=sin胃.tan胃

Short Answer

Expert verified

The graph of the polar equation r=sin胃.tan胃is:

Step by step solution

01

Step 1. Given

The polar equation: r=sin胃.tan胃

To graph the polar equation

02

Step 2. The polar axis

Replace 胃by-胃,

r=sin(-胃).tan(-胃)=-sin胃.-tan胃=sin胃.tan胃

The test is satisfied, so the graph is symmetric with respect to the polar axis.

03

Step 3. The line

Replace 胃by蟺-胃,

r=sin(蟺-胃).tan(蟺-胃)=-sin胃.tan胃

The test fails, so the graph may or may not be symmetric with respect to the line 胃=蟺2

04

Step 4. The pole

Replace rby-r,

-r=sin胃.tan胃r=-sin胃.tan胃

The test fails, so the graph may or may not be symmetric with respect to the pole.

05

Step 5. Graph the equation

Sketch the graph of the polar equation,

06

Step 6. Verify the graph

Verify the graph using graphing utility.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

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

r=2+2cos胃

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=2sin3胃

Findzwand zw. Leave the answers in polar form.

role="math" localid="1646661399572" z=2+2iw=3-i

Use the figure at the right. Determine whether the given statement is true or false.

E+D=G+H

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=1-2sin胃
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.