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Chapter 9: Q. 49 (page 568)

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

(-2,-180掳)

Short Answer

Expert verified

The rectangular coordinates corresponding to the polar coordinates(-2,180掳)are(2,0)

Step by step solution

01

Step 1.Given information

The given poplar coordinates of a point(-2,-180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 -2 for r and -180掳for 胃in x=rcos胃 to get the value of x.

x=rcos胃=-2.cos(-180掳)=-2.(-1)=2

03

Step 3.Finding the value of y.

Substitute -2 for r and -180掳for 胃in y=rsin胃to get the value of y.
y=rsin胃=-2.sin(-180掳)=-2.-sin180掳=-2.0=0
Therefore, the rectangular coordinates corresponding to the polar coordinates(-2,-180掳)are(2,0).

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Most popular questions from this chapter

In Problems 47鈥�52, find the unit vector in the same direction asv:v=2i-j

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

r=4+2sin胃

In Problems 11鈥�22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

2+3i.

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

(6,150掳)

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=4sin5胃
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