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Chapter 9: Q. 51 (page 568)

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

(7.5,110鈭�)

Short Answer

Expert verified

The rectangular coordinates is (-2.57,7.05).

Step by step solution

01

Step 1. Given Information

We are given polar coordinates of a point,

(7.5,110鈭�)

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=7.5路cos110掳=7.5路(-0.3420)=-2.57

Similarly,

y=rsin胃=7.5路sin110掳=7.5(0.939)=7.05

So, the rectangular coordinates is (-2.57,7.05).

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