Saturday, May 9, 2015

Polar coordinates

Polar coordinated are coordinates plotted on a circle graph. The circle graph is basically an extension of the unit circle. Since it is an extension of a unit circle, there are two kinds of points that one can plot: rectangular and polar. The rectangular coordinate points are the basic (x,y) coordinate pair where x=rcos(theta) and y=rsin(theta). The second is the polar coordinate which is represented by the coordinate pair (r,theta) where r2=x2+y2 and theta is equal to the inverse tangent of theta. There are four ways in which a polar coordinate pair can be written: (+,+)(+,-)(-+)(-,-). To plot polar coordinates. On has to find the value of theta on the unit circle then either r circles out wards or r circles towards and last the origin in the opposite way if it is negative. 

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