Выбери все серии, являющиеся решениями уравнений

\((\tg x+1)(\ctg x-1)=0\) .

• \(\cfrac{\pi}{4}+\cfrac{\pi k}{2}\) , \(k\in \Z\)
• \(\cfrac{\pi}{2}+\pi k\) , \(k\in \Z\)
• \(-\cfrac{\pi}{2}+\pi n\) , \(n\in \Z\)

\(\tg x \sin(2x)-\sin(2x)+\tg x-1=0\) .

• \(\cfrac{\pi}{4}+\cfrac{\pi k}{2}\) , \(k\in \Z\)
• \(\cfrac{\pi}{6}+\pi k\) , \(k\in \Z\)
• \(-\cfrac{\pi}{4}+\pi k\) , \(k\in \Z\)
• \(\cfrac{\pi}{3}+2\pi k\) , \(k\in \Z\)

\(96\tg^{2}x+1=3-32\tg^{2}x\) .

• \(-\arctg{\cfrac{1}{8}}+\pi k\) , \(k\in \Z\)
• \(-\arctg\cfrac{1}{64}+\pi k\) , \(k\in \Z\)
• \(\arctg\cfrac{1}{\sqrt{8}}+\pi k\) , \(k\in \Z\)
• \(\arctg\cfrac{1}{8}+\pi k\) , \(k\in \Z\)

\(3\ctg^2(2x)=1\) .

• \(\cfrac{\pi}{6}+\cfrac{\pi k}{2}\) , \(k\in \Z\)
• \(\cfrac{2\pi}{3}+\pi k\) , \(k\in \Z\)
• \(\cfrac{\pi}{3}+\cfrac{\pi k}{2}\) , \(k\in \Z\)
• \(\cfrac{2\pi}{3}+\cfrac{\pi k}{2}\) , \(k\in \Z\)