Question

3 ctg(x+ пи/4)больше или равно корню из 3

Answer 1

$3ctg(x+\frac{\pi}{4} )\geq \sqrt{3} \\ctg(x+\frac{\pi}{4} )\geq \frac{\sqrt{3}}{3} \\\pi k < x+\frac{\pi}{4} \leq \frac{\pi}{3}+\pi k\\-\frac{\pi}{4}+\pi k < x \leq \frac{\pi}{12}+\pi k$