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Chapter 9: Q. 25 (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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Most popular questions from this chapter

In Problems 11鈥�22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

2+3i.

True or False The tests for symmetry in polar coordinates are necessary but not sufficient.

Find ||v|| if v=-2i+3j

In Problems 61鈥�66, graph each pair of polar equations on the same polar grid. Find the polar coordinates of the point(s) of intersection and label the point(s) on the graph.

r=3;r=2+2cos胃

Find each quantity if v=3i-5jand w=-2i+3j.

3v-2w
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