# Plotting certain time points in a parametric equation? [closed]

I'm using Mathematica 5.0 and I have the following problem. I have the following parametric equation that I plotted successfully.

x = Sin[(Pi/3)*t]*(Exp[Cos[(Pi/2)*t]] - Sin[Pi*t] + (Sin[(Pi/3)*t/12])^5);
y = Cos[(Pi/3)*t]*(Exp[Sin[(Pi/2)*t]] - Cos[Pi*t] + (Sin[(Pi/3)*t/12])^5);


Where t∈[a, b] and a and b are entered manually by the user. I'm now required to plot the points where t = a, a+1, a+2, ..., b. I made a table of all these values with

fd = Table[t == w, {w, a, b, 1}]


But now I'm stuck trying to figure out how to calculate the $x$ and $y$ coordinates for these points using ListPlot to plot them.

Please, simple basic instructions only, as I'm VERY new to this (if you haven't already noticed)!

• Using your definitions of x and y, consider ListPlot[Table[{x, y}, {t, a, b, 1}], PlotRange -> All]. Beware that a and b must have been assigned values already before you execute this expression. – MarcoB Feb 4 '16 at 20:16

## 1 Answer

I think MarcoB suggestion, made in a comment, should be put on record.

x = Sin[(π t)/3] (Exp[Cos[(π t)/2]] - Sin[π t] + Sin[(π t)/(3 12)]^5);
y = Cos[(π t)/3] (Exp[Sin[(π t)/2]] - Cos[π t] + Sin[(π t)/(3 12)]^5);

With[{a = 0, b = 30 π}, ListPlot[Table[{x, y}, {t, a, b, .02}]]]