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Chapter 9: Q. 39 (page 567)

The polar coordinates of a point are given. Find rectangular coordinates of each point.

3,蟺2

Short Answer

Expert verified

The rectangular coordinate is 0,3.

Step by step solution

01

Step 1. Given information.

The given polar coordinates of a point are3,蟺2.

02

Step 2. Finding rectangular x-coordinate. 

We know that if a point Pon the terminal side of 胃and has polar coordinates r,胃, then the corresponding rectangular coordinates are given by x=rcos胃andy=rsin胃.
On substituting we get,

x=rcos胃=3cos蟺2=30=0

03

Step 3. Finding rectangular y-coordinate.

Similarly on substituting we get,

y=rsin胃=3sin蟺2=31=3

Therefore, the rectangular coordinates are0,3.

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Most popular questions from this chapter

Match the graph with the polar equation

rsin胃=2

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

rsin胃=4

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

(6.3,3.8)

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

cos2蟺3=________.
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