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Chapter 9: Q. 26 (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.

rcsc胃=8

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information

The given polar equation isrcsc胃=8

02

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

rcsc胃=8r=8sin胃r2=8rsin胃

As y=rsin胃and r2=x2+y2

So,

x2+y2=8yx2+y2-8y+16=16x2+(y-4)2=16

Then, the graph is

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Most popular questions from this chapter

To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace 胃by ________.

If v鈬赌=2i鈬赌-j鈬赌and w鈬赌=xi鈬赌+3j鈬赌, find all numbers x for which v鈬赌+w鈬赌=5.

sin5蟺4=________.

Write the expression in the standard form a+bi.

3cos10掳+isin80掳3

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

-2+3i.
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