   Chapter 10, Problem 10RE

Chapter
Section
Textbook Problem

Sketch the polar curve.10. r = sin 4θ

To determine

To Sketch: The polar curve r=sin4θ.

Explanation

Given:

The Polar equation for the variable r is as follows.

r=sin4θ (1)

To draw the curve for the values of θ and r.

Determine the value of r.

Substitute the value of 0° for θ.

r=(sin(4×0°)×π180)=0

Similarly substitute till 360° for θ.

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

 θ r 0.00 0.00 10.00 0.64 20.00 0.98 30.00 0.87 40.00 0.34 50.00 -0.34 60.00 -0.87 70.00 -0.98 80.00 -0.64 90.00 0.00 100.00 0.64 110.00 0.98 120.00 0.87 130.00 0.34 140.00 -0.34 150.00 -0.87 160.00 -0.98 170.00 -0.64 180.00 0.00 190.00 0.64 200.00 0.98 210.00 0.87 220.00 0.34 230.00 -0.34 240.00 -0.87 250.00 -0.98 260.00 -0.64 270.00 0.00 280.00 0.64 290.00 0.98 300.00 0.87 310.00 0.34 320.00 -0.34 330.00 -0.87 340.00 -0.98 350.00 -0.64 360.00 0.00

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.

Determine the value of x.

x=rcosθ

Substitute the value of 1 for r, and 0° for θ.

x=0×cos0°=0

Determine the value of 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. (14)2

Finite Mathematics and Applied Calculus (MindTap Course List)

limx6x33+x= a) b) c) 0 d) 2

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

For

Study Guide for Stewart's Multivariable Calculus, 8th 