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Chapter 9: Q. 50 (page 568)

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

(-3,-90掳)

Short Answer

Expert verified

The rectangular coordinates corresponding to the polar coordinates (-3,-90掳)are (0,3)

Step by step solution

01

Step 1.Given information

The given poplar coordinates of a point(-3,-90掳)

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 -90掳for 胃in x=rcos胃 to get the value of x.

x=rcos胃=-3.cos(-90掳)=-3.0=0

03

Step 3.Finding the value y.

Substitute -3 for r and -90掳for 胃in y=rsin胃 to get the value of y.
y=rsin胃=-3.sin(-90掳)=3
Therefore, the rectangular coordinates corresponding to the polar coordinates(-3,-90掳)are(0,3).

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