  We consider a skew product $F_{A} = (\sigma_{\omega}, A)$ over irrational
rotation $\sigma_{\omega}(x) = x + \omega$ of a circle $\mathbb{T}^{1}$. It is
supposed that the transformation $A: \mathbb{T}^{1} \to SL(2, \mathbb{R})$
being a $C^{1}$-map has the form $A(x) = R(\varphi(x)) Z(\lambda(x))$, where
$R(\varphi)$ is a rotation in $\mathbb{R}^{2}$ over the angle $\varphi$ and
$Z(\lambda)= diag\{\lambda, \lambda^{-1}\}$ is a diagonal matrix. Assuming that
$\lambda(x) \ge \lambda_{0} > 1$ with a sufficiently large constant
$\lambda_{0}$ and the function $\varphi$ be such that $\cos \varphi(x)$
possesses only simple zeroes, we study hyperbolic properties of the cocycle
generated by $F_{A}$. We apply the critical set method to show that, under some
additional requirements on the derivative of the function $\varphi$, the
secondary collisions compensate weakening of the hyperbolicity due to primary
collisions and the cocycle generated by $F_{A}$ becomes hyperbolic in contrary
to the case when secondary collisions can be partially eliminated.
