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The parametric curve defined by x(t) - A cos(Bt), y(t)=C sin(Dt) or cycloids and why they are famous. Create an initial submission in Microsoft Word,...

I have a question on parametric curve which I will need your help on

The parametric curve defined by   x(t) – A cos(Bt), y(t)=C sin(Dt ) or cycloids and why they  are famous. Create an initial submission in Microsoft Word, using your equation editor and graphing tool  (Microsoft Mathematics 4.0, which can plot parametric graphs, or another tool such as the  shareware Graphmatica 2.0) to post interesting variations on the parametric equations. For  each graph you create, identify the specific parametric equations used  and the domain  for  your graph. In a sense, this will be a real art exhibit. Be sure to make a comment on each  graph you create as to how one particular graph differs from the other, and perhaps what  patterns you observed during your experimentation.  Heads-up, be careful about file size The images could get large, especially if you include color in the graphs’ backgrounds.  Tradeoffs are part of the issues in this submission. 
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Answer:
Consider the parametric equation
x t A cos Bt y t C sin Dt We will set the equation to x t A cos Bt and y t C sin Dt in graphing tool, using
the sliders for variable A, B, C and D ....

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