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Chapter 9: Q. 44 (page 567)

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

(5,300掳)

Short Answer

Expert verified

The rectangular coordinates corresponding to the polar coordinates (5,300掳)are52,-532

Step by step solution

01

Step 1. Given information

The given poplar coordinates of a point(5,300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 5 for r and 300掳for 胃 in to get the value of x.

x=rcos胃=5cos(300)=52

03

Step 3. Finding the value of y.

Substitute 300掳for 胃and 5 for riny=rsin胃 to get the value of y.

y=rsin胃=5sin(300掳)=-532

Therefore, the rectangular coordinates corresponding to the polar coordinates (5,300掳)are(52,-532)

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