When looking at a cartesian graph

  1. should every whole number that curve x crosses be taken into consideration when
    constructing a polar graph? For example, when y=1 is crossed, should the radius be drawn
    on the polar graph if the x value is not an exact, uh, pi number (for example instead
    of .77 which is pi/4 the x value that curve x crosses 1 is at .88 or something like that)
    To see what I mean, graph 3cosx and look where y=2 is crossed (at x=.84). Should I ignore this point?
     
    Last edited: Jun 11, 2008
  2. jcsd
  3. HallsofIvy

    HallsofIvy 40,667
    Staff Emeritus
    Science Advisor

    ?? I have no idea what you are talking about. To perfectly graph a function, you have to take every number into account, not just whole numbers! To approximately graph a function, you need to decide how accurate you want to be as opposed to how much work you want to do. The only reason for using "pi numbers" (by which I take it you mean simple fractions of pi) is that they are easy- the same reason you might use whole numbers for Cartesian graphs. There is no "mathematical" rule.
     
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