Calculator for finding the Area of a circle
   
 Trig equations look like this:
Related Chapters
   
Y = 2sin(2X)
 
 Writing this in polar form is easy,
  in fact, it is already in polar form!
 X is the angle.
 2sin(2X) is the distance from the origin point.
 
The only change we make in the polar graphing
 is to change the letter Y in the equation to the Greek letter "r
 
This looks like the lower case p but is actually the Greek letter rho.
 
 This love affair that math types have with Greek letters is AMAZING!
 It's almost like they want people to say "It's all Greek to me"; and maybe they do!
 
 Anyway, a trig equation in polar form would look like:
 

r = 2sin(2X)

 
 Don't get all hung up on the "r" thing. It's just another name for Y.
 
 Now we plot some points and graph the equation.
 If the equation is difficult,
 we can use a partial step or two between the X and the "r".
 
 Graphing this we get:
 
X sin2X 2sin2X   X sin2X 2sin2X
0 0.000 0.000        
10 0.342 0.684   190 0.342 0.684
20 0.643 1.286   200 0.643 1.286
30 0.866 1.732   210 0.866 1.732
40 0.985 1.970   220 0.985 1.970
50 0.985 1.970   230 0.985 1.970
60 0.866 1.732   240 0.866 1.732
70 0.643 1.286   250 0.643 1.286
80 0.342 0.684   260 0.342 0.684
90 0.000 0.000   270 0.000 0.000
100 -0.342 -0.684   280 -0.342 -0.684
110 -0.643 -1.286   290 -0.643 -1.286
120 -0.866 -1.732   300 -0.866 -1.732
130 -0.985 -1.970   310 -0.985 -1.970
140 -0.985 -1.970   320 -0.985 -1.970
150 -0.866 -1.732   330 -0.866 -1.732
160 -0.643 -1.286   340 -0.643 -1.286
170 -0.342 -0.684   350 -0.342 -0.684
180 0.000 0.000   360 0.000 0.000
 

 How pretty!
copyright 2008 Bruce Kirkpatrick