Maple Trying to graph a parameterised 3D function in maple 11

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The discussion revolves around graphing a parameterized 3D function in Maple 11, specifically the equations x(t) = (a/b)*sin(b*t), y(t) = (a/b)*cos(b*t), and z(t) = a*t*sin(b*t), with the constraint (a^2) + (b^2) = 1. The user seeks a method to incorporate varying values of constants a and b into the graphing process without manually changing them in the parameterization each time. The goal is to efficiently visualize the resulting graphs for multiple pairs of a and b, as there are approximately twenty different combinations to explore. The discussion highlights the need for a programming solution within Maple that allows for external definition of these parameters while maintaining the integrity of the parameterized equations.
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Hi been trying to graph a parameterised 3D function in maple 11. My problem is that I have two constant terms that satisfy there own condition. That is, simplified, I need to draw:

x(t)= (a/b)*sin(b*t)
y(t)= (a/b)*cos(b*t)
z(t)= a*t*sin(b*t)

subject to (a^2)+(b^2)=1.

Any ideas how to incorporate this into Maple?

Much appreciated
 
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For a fixed pair (a,b) your graph is a curve in 3-space. Can you draw that with Maple?

When (a,b) vary, what is it you want to draw?
 


yeah I can draw it with fixed a&b,

I think I want to know is it possible to program maple so that i can write a and b in the parametrisation, but define there values outside of the expression for the graph.

The idea being that I want to plug many different values of a and b to see the resulting graph, without having to go through the parameterisation and change them directly. (I my actual example there is around twenty a's and b's)
 

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