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Chapter 9: Q. 52 (page 568)

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

-3.1,182掳

Short Answer

Expert verified

The rectangular coordinates is (3.098,0.093).

Step by step solution

01

Step 1. Given Information 

We are given polar coordinates of a point,

-3.1,182掳

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=-3.1cos182掳=-3.1脳(-0.9994)=3.098

Similarly,

y=rsin胃=-3.1sin182掳=-3.1脳(-0.03)=0.093

So, the rectangular coordinates is (3.098,0.093).

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Most popular questions from this chapter

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=2-3cos胃

find the unit vector in the same direction asv

v=-5i+12j

Write the expression in the standard forma+ib.

5cos3蟺16+isin3蟺164

Match the graph with the polar equation

rsin胃=2

In Problems55鈥�66, the rectangular coordinates of a point are given. Find polar coordinates for each point.

0,2
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