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Which set of rectangular coordinates describes the same location as the
polar coordinates (3-√2.37)?
4

Sagot :

The rectangular coordinates will be (2.999, -0.1239)

What are different Coordinate System ?

The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.

Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.

The equations used to convert from polar coordinates to rectangular coordinates.

x=rcosθ

y=rsinθ

z=z

For the polar coordinates

(3-√2.37)

r = 3

[tex]\rm \theta \\[/tex] = -√2.37

x = 3cos (-√2.37)

x = 3 *0.999

x =2.999

y = 3 sin.(-√2.37)

y = 3*(-0.0413)

y = -0.1239

Therefore the rectangular coordinates will be (2.999, -0.1239)

To know more about Coordinate System

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