   Chapter 10, Problem 11RE

Chapter
Section
Textbook Problem

# Sketch the polar curve.11. r = cos 3θ

To determine

To Sketch: The polar curve r=cos3θ.

Explanation

Given:

The Polar equation for the variable r is as follows.

r=cos3θ (1)

Draw the curve for the values of θ and r.

Determine the value of r.

Substitute the value of 0° for θ.

r=(cos(3×0°)×π180)=1

Similarly, substitute till 360° for θ.

Summarize the values of θ and r as shown in the table (1).

 θ r 0.00 1.00 10.00 0.87 20.00 0.50 30.00 0.00 40.00 -0.50 50.00 -0.87 60.00 -1.00 70.00 -0.87 80.00 -0.50 90.00 0.00 100.00 0.50 110.00 0.87 120.00 1.00 130.00 0.87 140.00 0.50 150.00 0.00 160.00 -0.50 170.00 -0.87 180.00 -1.00 190.00 -0.87 200.00 -0.50 210.00 0.00 220.00 0.50 230.00 0.87 240.00 1.00 250.00 0.87 260.00 0.50 270.00 0.00 280.00 -0.50 290.00 -0.87 300.00 -1.00 310.00 -0.87 320.00 -0.50 330.00 0.00 340.00 0.50 350.00 0.87 360.00 1.00

Graph:

Draw the polar curve for the values of θ and r as shown in the figure (1) from table 1.

Draw the curve for the values of x and y

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Evaluate the expression sin Exercises 116. (2)3

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Evaluate Evaluate the expression. 11. 21/281/2

Precalculus: Mathematics for Calculus (Standalone Book)

#### In Exercises 6372, evaluate the expression. 65. 12+41612

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Evaluate 11(x2x3)dx a) 32 b) 56 c) 12 d) 23

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Identify and describe the steps in the research process.

Research Methods for the Behavioral Sciences (MindTap Course List) 