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Chapter 9: Q. 48 (page 568)

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

-3,-3蟺4

Short Answer

Expert verified
The rectangular coordinates corresponding to the polar coordinates (-3,-3蟺4)are (32,32).

Step by step solution

01

Step 1. Given information

The given poplar coordinates of a point-3,-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 -3 for r and -3蟺4for 胃in x=rcos胃 to get the value of y.

x=rcos胃=-3.cos(-3蟺4)=-3.(-12)=32

03

Step 3. Finding the value of y.

Substitute -3 for r and -3蟺4for 胃in y=rsin胃to get the value of y.
y=rsin胃=-3.sin(-3蟺4)=-3脳-12=32
Therefore, the rectangular coordinates corresponding to the polar coordinates (-3,-3蟺4)are 32,32.

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