(a) A curve Gamma is defined by the parameterization {Cos[t], Sin[t], f[t]}. Calculate the function f[t] so that the main normals of Gamma are parallel to the XY plane. Calculate the torsion and curvature in that case.
(b) Determine the function Phi[t] so that Phi[0] = 1. And the normal planes to the curve {Sin[t]^2, Sin[t] Cos[t], Phi[t]} pass through the origin. Calculate the curvature and torsion in such a case.
