# 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 | + | '''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> | ||

+ | :<math>y = r \sin(\theta)</math> | ||

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[[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: