Chapter 9: Q. 47 (page 747)

Graph the cardioids $r = 1 + \sin θ a n d r = 1 - \sin θ$ . What is the relationship between these two graphs?

Short Answer

Expert verified

Both the graphs intersect each other at certain points.

Step by step solution

Step 1. Given Information.

The given curves are $r = 1 + \sin θ a n d r = 1 - \sin θ$ .

Step 2. Graphically

The equations will be as :

$r = 1 + a \sin θ$

Both the graph intersect each other at certain points. Changing the value of $a$ changes the size of the cardioid but does not affect its shape. The larger the value of $a$ , the larger the resulting cardioid.

The graphs of a given curve are :

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Graph the cardioids $r = 1 + \sin θ a n d r = 1 - \sin θ$ . What is the relationship between these two graphs?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Graphically

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Graph the cardioidsr=1+sinθandr=1−sinθ. What is the relationship between these two graphs?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Graphically

One App. One Place for Learning.

Most popular questions from this chapter

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Mechanics Maths

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Study anywhere. Anytime. Across all devices.

Graph the cardioids $r = 1 + \sin θ a n d r = 1 - \sin θ$ . What is the relationship between these two graphs?