I need help with this problem please, and please make it legible.

The tangent line to a smooth curve r(t) = f(t)i + g(t)j + h(t)k at t = to is the line that passes through the point (f (to) ,g (to) ,h (10)) parallel to v (to) , the curve's velocity vector at to. Find the parametric equations for the line that is tangent to the given curve at the given parameter value t= '0- r(t)=(cost)i +(sin 1)] + ( sin 8t)k, to = x= (Type an exact answer, using radicals as needed.) y= (Type an exact answer, using radicals as needed.) z= (Type an exact answer, using radicals as needed.)