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Chapter 10: Q. 24 (page 683)

In Problems 13鈥�24, analyze each equation and graph it.

r=3csc胃csc胃-1

Short Answer

Expert verified

The given equation represents a parabola.

Step by step solution

01

Step 1. Given Information 

We are given an equation

r=3csc胃csc胃-1r=31sin胃1sin胃-1=3sin胃1sin胃-1=31-sin胃

We need to find the graph of the equation.

02

Step 2. Analyze the equation 

Compare the given equation with r=ep1-esin胃

The given equation becomes,

r=31-sin胃

Here,e=1, therefore, it is a parabola.

03

Step 3. Plotting points 

Now, we will calculate the points from the given equation,

胃=0:r=31-sin0=31-0=31=3胃=蟺2:r=31-sin蟺2=31-1=30=鈭�胃=蟺:r=31-sin蟺=31-0=31=3胃=3蟺2:r=31-sin3蟺2=31+1=3232,3蟺2

04

Step 4. Required graph 

Plotting the points, we get the graph as,

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