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Chapter 9: Q. 45 (page 567)

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

-2,3蟺4

Short Answer

Expert verified

The rectangular coordinates corresponding to the polar coordinates(-2,3蟺4)are(2,-2)

Step by step solution

01

Step 1. Given information

The given poplar coordinates of a point-2,3蟺4

02

Step 2. Finding the value of x.

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andy=rsin胃.
Substitute -2 for r and 3蟺4for 胃in x=rcos胃 to get the value of x.

x=rcos胃=-2.cos(3蟺4)=-2.-22=2

03

Step 3. Finding the value of y.

Substitute -2 for r and 3蟺4for 胃 in y=rsin胃 to get the value of y.
y=rsin胃=-2.sin3蟺4=-2.22=-2
Therefore, the rectangular coordinates corresponding to the polar coordinates (-2,3蟺4)are(2,-2) .

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