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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 31 (page 583)

Match each of the graphs (A) through (H) to one of the following polar equations.
$r = 2 \cos 胃$

Short Answer

Expert verified

The given polar equation matches the graph given in choice (F).

Step by step solution

01

Step 1. Given information

The given polar equation is $r = 2 \cos 胃$

02

Step 2. Find the graph for particular polar equation.

$r = 2 \cos 胃 r^{2} = 2 r \cos 胃$

As $r^{2} = x^{2} + y^{2}$ and $x = r \cos 胃$

So,

role="math" localid="1646742733213" $x^{2} + y^{2} = 2 x x^{2} + y^{2} - 2 x + 1 = 1 {(x - 1)}^{2} + y^{2} = 1$

This is rectangular form of the given polar equation.

The graph for ${(x - 1)}^{2} + y^{2} = 1$ matches with the option (F).

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Most popular questions from this chapter

$\cos \frac{2 蟺}{3} =________.$

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