Chapter 9: Q. 17 (page 747)

Graph the equation in the θr-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.
$r = 1 - \cos θ$

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

Step 1. Given information

The equation of the curve:

$r = 1 - \cos θ$

Step 2. Graph the equation inθr-plane.

The value of $θ$ lies on the horizontal axis and $r$ lies on the vertical axis.

The graph of $r = 1 - \cos θ$ is obtained by reflecting the graph of $r = \cos θ$ then shifting the graph by 1 unit, vertically upward.

Here the graph shows the value of $r$ in all four quadrant when graph is plotted in the polar plane.

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Graph the equation in the θr-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.
$r = 1 - \cos θ$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the equation inθr-plane.

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Graph the equation in the θr-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.r=1-cosθ

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the equation inθr-plane.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Pure Maths

Discrete Mathematics

Statistics

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Graph the equation in the θr-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.
$r = 1 - \cos θ$