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Chapter 9: Q. 42 (page 567)

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(-3,蟺)

Short Answer

Expert verified

The rectangular coordinates corresponding to the polar coordinates (-3,蟺)are(3,0)

Step by step solution

01

Step 1. Given information

The given poplar coordinates of a point(-3,蟺)

02

Step 2. Finding x values 

For a point P on the terminal side of 胃and having polar coordinates (r,胃), the corresponding rectangular coordinates are given by x=rcos胃and y=rsin胃.

Substitute -3 for r and蟺 for 胃in x=rcos胃 to get the value of x.

x=rcos胃=-3cos(蟺)=3

03

Step 3. Finding y value 

Substitute -3for xand 蟺for 胃 in to get the value of y.

y=rsin胃=-3sin(蟺)=0

Therefore, the rectangular coordinates corresponding to the polar coordinates(-3,蟺)are(3,0)

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Most popular questions from this chapter

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

胃=蟺3

Identify and graph each polar equation. Verify your graph using a graphing utility.

r2=sin2胃

Match the graph with the polar equation

胃=3蟺4

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=1-cos胃

If the rectangular coordinates of a point are 4,-6,the point symmetric to it with respect to the origin is ______.
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