Plotting graphs in three dimension

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Discussion Overview

The discussion revolves around plotting graphs in three dimensions using parametric equations and polar coordinates. Participants explore methods for visualizing the relationship between the variables defined by the equations provided, particularly in the context of using graphing calculators or software like Excel.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant presents parametric equations for x and y based on a variable n, expressing a goal to plot these in a graph.
  • Another participant identifies the equations as parametric and suggests searching for tutorials on plotting them using a TI-84 calculator.
  • A different participant proposes that plotting in polar coordinates might simplify the process, providing the corresponding equations for r and theta.
  • One participant expresses gratitude and inquires about the methods used for plotting.
  • A later reply indicates that Excel was used to create a scatter plot by tabulating x and y values against n.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method for plotting the graphs, as multiple approaches are suggested, including parametric equations and polar coordinates. The discussion remains open with various viewpoints presented.

Contextual Notes

There are no explicit limitations noted, but the discussion reflects varying levels of familiarity with graphing tools and techniques.

Who May Find This Useful

Individuals interested in graphing parametric equations, using TI-84 calculators, or exploring plotting techniques in Excel may find this discussion relevant.

24forChromium
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I have function1: x = n(cos((pi/2)-2pi/n))
and function2: y = n(sin((pi/2)-2pi/n))

my goal is to plot a graph where for the same value of n, the x and y are respectively the horizontal and vertical component of the point, this graph should preferably possible to create on a computer or a graphing calculator like ti-84. Someone told me that this thing can be benefited from thinking in three dimensions, not sure what that means.
 
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I think those are parametric equations. I'm not sure how it works on ti-84, but if you search on YouTube how to plot parametric equations on ti-84, I'm more than certain you'll find something.
 
It might be easier to plot the curve in polar coordinates, which are:
r=n
theta=Pi/2 - 2Pi/n
 
upload_2015-12-7_7-9-46.png
 
24forChromium said:
Thanks a lot, how and where did you do this?
Excel. Tabulate x and y against n and ask for a "scatter plot".
 

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