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Chapter 9: Q. 53 (page 568)

In Problems 39鈥�54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

(6.3,3.8)

Short Answer

Expert verified

The rectangular coordinates is -4.98,-3.85.

Step by step solution

01

Step 1. Given Information 

We are given polar coordinates of a point,

(6.3,3.8)

The rectangular coordinates are given by x=rcos胃and

y=rsin胃

02

Step 2. Finding the rectangular coordinates

The rectangular coordinates is given by,

x=rcos胃=6.3路cos(3.8)=6.3(-0.7909)=-4.98

Similarly,

y=rsin胃=6.3脳sin(3.8)=6.3脳-0.6118=-3.85

So, the rectangular coordinates is -4.98,-3.85.

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