Plotting curve f(x,y,z) with HP Prime

[mbeddo]

You can use the parametric app, but you'll have to transform the 3 dimensions down to 2. You do this through the use of rotation matrices - rotate about x, rotate about y, rotate about z (see wiki discussing 3D rotations for instance).

For example, if you rotate about x by -45 degrees, then rotate about z by 30 degrees, your rotation matrix is [[0.7071068, 0.3535534, -0.6123724], [0, 0.8660254, 0.5], [0.7071068, -0.3535534, 0.6123724]]. Your input vector is [a*sin(T), a*cos(T), c*T]. So you'd left multiply your rotation matrix with your input vector, then decide which two components to view.

Suppose you wanted to plot the new x and y projection. Then in the Parametric Symbolic View you'd enter X1(T) = 0.7071*A*SIN(T)+0.3536*A*COS(T)-0.6124*C*T and for Y1(T) = 0.8660*A*COS(T)+0.5*C*T. See screen shots.
       
Probably you're going to want a program where you enter the yaw, pitch, and roll angles and the function you want to plot, and the program does the rotation and configures X1(T) and Y1(T) for you.