2. (3 points) How many different solutions does the equation

$$
10 \sqrt{6} \cos x \cdot \operatorname{ctg} x - 2 \sqrt{6} \operatorname{ctg} x + 5 \cos x - 1 = 0
$$

have on the interval $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$? Find these solutions.
2. 2 solutions, $\pm \arccos \frac{1}{5}$.