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Chapter 9: Q. 28 (page 583)

Transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

rsec胃=-4

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information

The given polar equation isrsec胃=-4

02

Step 2. Convert polar equation into rectangular equation and graph it.

rsec胃=-4r=-4cos胃r2=-4rcos胃

As x=rcos胃and r2=x2+y2

So,

x2+y2=-4xx2+y2+4x+4=4(x+2)2+y2=4

Then, the graph is

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