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Chapter 9: Q. 7 (page 631)

In Problems5鈥�7, convert the polar equation to a rectangular equation. Graph the equation.

rsin2胃+8sin胃=r

Short Answer

Expert verified

The rectangular equation is 8y=x2.

The graph is as follows,

Step by step solution

01

Step 1. Given information  

We are given a polar equation,

rsin2胃+8sin胃=r

We have to convert the polar equation to a rectangular equation.

02

Step 2. Converting the polar equation to rectangular equation 

We know that,

x=rcos胃andy=rsin胃sin胃=yrx2+y2=r2

So,

rsin2胃+8sin胃=rr路yr2+8脳yr=ry2r+8yr=ry2+8y=r28y=x2

Hence, the rectangular equation is 8y=x2.

03

Step 3. Graphing the equation 

The graph is as follows,

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Most popular questions from this chapter

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