5.1.2. A particle moves in the plane $O x y$ of a rectangular coordinate system according to the law (here $x, y$ are the coordinates of the point in meters, $t$ is time in seconds):

$$
x(t)=3 ; y(t)=3+\sin t \cdot \cos t-\sin t-\cos t
$$

In the same plane, a light ray constantly emanates from the origin according to the law $y=c x$, where $c$ is a positive dimensionless constant. For which values of $c$ does there not exist a single moment in time when the particle is illuminated by the ray?
Answer: $c \in\left(0 ; \frac{3}{2}\right),\left(\frac{7+2 \sqrt{2}}{6} ; \infty\right)$