It would be certainly more efficient to actually simplify many of the obviously overly complicated "formulas" there. Just for the sake of argument, you achieve

It would be certainly more efficient to actually simplify many of the obviously overly complicated "formulas" there. Just for the sake of argument, you achieve the same "effect" of sin(t)cos(t) with a simple sin(2t) (ignoring the 0.5 multiplying the sin that made the amplitude of the movement unnecessarily small).