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Chapter 9: Q. 41 (page 567)

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

(-2,0)

Short Answer

Expert verified

The rectangular coordinates corresponding to the polar coordinates(-2,0)are(-2,0)

Step by step solution

01

Step 1.Given information

The given poplar coordinates of a point(-2,0)

02

Step 2.Finding x value

For a point P on the terminal side of θand having polar coordinates (r,θ), the corresponding rectangular coordinates are given by x=rcosθandy=rsinθ.
Substitute -2for rand 0 for θin x=rsinθto get the value of x.

x=rcosθ=-2.rcosθ=-2.1=-2

03

Step 3.Finding y  value

Substitute -2 for r and 0 for θin y=rsinθ to get the value of y.
y=rsinθ=-2.sinθ=-2.0=0
Therefore, the rectangular coordinates corresponding to the polar coordinates(-2,0)are(-2,0).

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