What a Springy Parameterization!

Algebra Level 2

The parametric equations for the curve shown are {x=cos(t)y=sin(t)z=? \begin{cases} x = \cos(t) \\ y = \sin(t) \\ z = \text{?} \end{cases} where tt ranges over (0,20)(0, 20). Which function could zz be equal to?

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