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Chapter 9: Q. 40 (page 567)

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

4,3蟺2

Short Answer

Expert verified

The rectangular coordinate is0,-4.

Step by step solution

01

Step 1. Given information.

The given polar coordinates of a point is4,3蟺2

02

Step 2. Finding rectangular x-coordinate.

We know that if a point P on 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=4cos3蟺2=40=0
03

Step 3. Finding rectangular y-coordinate.

Similarly on substituting we get,
y=rsin胃=4sin3蟺2=4-1=-4

Therefore, the rectangular coordinates are0,-4.

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