Решебник по алгебре и начала математического анализа 10 класс Алимов Задание 765

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\[1)\ y = tg\left( 2x + \frac{\pi}{6} \right)\]

\[2x + \frac{\pi}{6} \neq \frac{\pi}{2} + \pi n\]

\[2x \neq \frac{\pi}{2} - \frac{\pi}{6} + \pi n\]

\[2x = \frac{3\pi - \pi}{6} + \pi n\]

\[2x = \frac{2\pi}{6} + \pi n\]

\[2x = \frac{\pi}{3} + \pi n\]

\[x \neq \frac{1}{2} \bullet \left( \frac{\pi}{3} + \pi n \right)\]

\[x = \frac{\pi}{6} + \frac{\text{πn}}{2}.\]

\[Ответ:\ \ x \neq \frac{\pi}{6} + \frac{\text{πn}}{2}.\]

\[2)\ y = \sqrt{\text{tg\ x}}\]

\[\text{tg\ x} \geq 0\]

\[arctg\ 0 + \pi n \leq x < \frac{\pi}{2} + \pi n.\]

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