Difference between revisions of "Polar coordinates"

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'''Polar coordinates''' are an alternative way of representing points on the [[coordinate plane]]. Under the standard system, a point is represented as an ordered pair (x, y) of coordinates for distance 'x' along the horizontal axis and distance 'y' along the vertical axis from a fixed point, called the origin. Under the polar coordinate system, a point is represented as an angle <math>\theta</math> from the origin and a distance 'r' extended in that direction. Thus, a point under rectangular coordinates can be transformed to polar coordinates using the following rule:
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'''Polar coordinates''' are an alternative way of representing points on the [[coordinate plane]]. Under the standard system, a point is represented as an ordered pair (x, y) of coordinates for distance 'x' along the horizontal axis and distance 'y' along the vertical axis from a fixed point, called the origin. Under the polar coordinate system, a point is represented as an angle <math>\theta</math> from the origin and a distance <math>r</math> extended in that direction. Thus, a point under rectangular coordinates can be transformed to polar coordinates using the following rule:
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:<math>x = r \cos(\theta)</math>
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:<math>y = r \sin(\theta)</math>
  
:<math>
 
x = rcos(\theta)</math>
 
:<math>y = rsin(\theta)</math>
 
 
[[Category:Mathematics]]
 
[[Category:Mathematics]]

Latest revision as of 14:14, 14 December 2016

Polar coordinates are an alternative way of representing points on the coordinate plane. Under the standard system, a point is represented as an ordered pair (x, y) of coordinates for distance 'x' along the horizontal axis and distance 'y' along the vertical axis from a fixed point, called the origin. Under the polar coordinate system, a point is represented as an angle from the origin and a distance extended in that direction. Thus, a point under rectangular coordinates can be transformed to polar coordinates using the following rule: