I don't understand witch formulas I can use for non-unit speed curves. I know I can use $$\kappa = \frac{||\alpha' \times \alpha''||}{||\alpha'||^3}$$ and $$\tau = \frac{(\alpha' \times \alpha'')\dot \alpha''')}{||\alpha' \times \alpha''||^2}$$
Then, I thought I could use that formulas to apply then on Frenet System of EDOs, to find tangent, normal and binormal. But, in another question, I read I only could use it on unit-speed formulas.
Is there anything I can do without the need of change the parameter to an arc-lenght one? How could I find the frenet frame of $$\gamma = (t-\cos t,\sin t, t), \ t\in \mathbb{R}$$