Sunday, November 20, 2011

polar and retangular

Rectangular is the form (x,y), which is our normal form. This is used for lines and quadrants. There is another way graph using polar. Polar graphing is used with circlular graphs. There are ways to convert between these two forms. The form for polar is (#,#degrees). The form for rectangular is (x,y) ofcourse.

*to graph a polar graph you must use angles (r,@) instead of (x,y). To graph in calculator you must go to mode and switch to radians and polar.

-To convert from polar to rectangular x=rcos@ y=rsin@
-To convert from rectangular to polar r=squareroot of x^2+y^2 and @=tan-1(x/r)

Ex1. Convert (8,60degrees) to rectangular
X=8cos(60) Y=8sin(60)
8(1/2) 8(squareroot 3/2)
(8/2) 8squareroot3/2

Ex2 convert (1,1) to polar
r=squareroot 1^2+1^2 Tan-1(1)
r=+-2 Tan =45 and 225

(2,45)
(-2,225) same point

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