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Chapter 9: Q. 22 (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.

r=2sin胃

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information

The given polar equation isr=2sin胃

02

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

r=2sin胃r2=2rsin胃

As y=rsin胃andr2=x2+y2

So,

x2+y2=2yx2+y2-2y+1=1x2+(y-1)2=1

The graph is

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