Решебник по алгебре и начала математического анализа 10 класс Алимов Задание 738

\[\boxed{\mathbf{738}\mathbf{.}}\]

\[1)\ tg\ x < 1\]

\[- \frac{\pi}{2} + \pi n < x < arctg\ 1 + \pi n\]

\[- \frac{\pi}{2} + \pi n < x < \frac{\pi}{4} + \pi n.\]

\[2)\ tg\ x \geq \sqrt{3}\]

\[\text{arctg\ }\sqrt{3} + \pi n \leq x < \frac{\pi}{2} + \pi n\]

\[\frac{\pi}{3} + \pi n \leq x < \frac{\pi}{2} + \pi n.\]

\[3)\ tg\ x \leq - \frac{\sqrt{3}}{3}\]

\[- \frac{\pi}{2} + \pi n < x \leq arctg\left( - \frac{\sqrt{3}}{3} \right) + \pi n\]

\[- \frac{\pi}{2} + \pi n < x \leq - arctg\frac{\sqrt{3}}{3} + \pi n\]

\[- \frac{\pi}{2} + \pi < x \leq - \frac{\pi}{6} + \pi n.\]

\[4)\ tg\ x > - 1\]

\[\text{arctg}( - 1) + \pi n < x < \frac{\pi}{2} + \pi n\]

\[- arctg\ 1 + \pi n < x < \frac{\pi}{2} + \pi n\]

\[- \frac{\pi}{4} + \pi n < x < \frac{\pi}{2} + \pi n.\]