Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 108

\[1)\ y = \sin x + \cos x\]

\[x \in R.\]

\[2)\ y = \sin x + tg\ x\]

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

\[3)\ y = \sqrt{\sin x}\]

\[\sin x \geq 0\]

\[2\pi n \leq x \leq \pi + 2\pi\text{n.}\]

\[4)\ y = \sqrt{\cos x}\]

\[\cos x \geq 0\]

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

\[5)\ y = \frac{2x}{2\sin x - 1}\]

\[2\sin x - 1 \neq 0\]

\[2\sin x \neq 1\]

\[\sin x \neq \frac{1}{2}\]

\[x \neq ( - 1)^{n} \bullet \frac{\pi}{6} + \pi\text{n.}\]

\[6)\ y = \frac{\cos x}{2\sin^{2}x - \sin x}\]

\[2\sin^{2}x - \sin x \neq 0\]

\[\sin x \bullet \left( 2\sin x - 1 \right) \neq 0\]

\[\sin x \neq 0\]

\[\sin x \neq \frac{1}{2}\]

\[x \neq \pi n,\ \ \ x \neq ( - 1)^{n} \bullet \frac{\pi}{6} + \pi\text{n.}\]