Решебник по алгебре 11 класс Никольский Параграф 1. Функции и их графики Задание 83

\[\boxed{\mathbf{83.}}\]

\[\textbf{а)}\ y = \frac{\sin x}{|\sin x|}\]

\[\sin x > 0:\]

\[y = 1.\]

\[\sin x < 0:\]

\[y = - 1.\]

\[\sin x \neq 0.\]

\[\textbf{б)}\ y = \frac{\cos x}{\left| \cos x \right|}\]

\[\cos x > 0:\]

\[y = 1.\]

\[\cos x < 0:\]

\[y = - 1.\]

\[\cos x \neq 0.\]

\[\textbf{в)}\ y = \frac{\sin x}{|\sin x|} + \frac{\cos x}{|\cos x|}\]

\[\textbf{г)}\ y = \sin x + |\sin x|\]

\[\sin x > 0:\]

\[y = 2.\]

\[\sin x \leq 0:\]

\[y = 0.\]

\(\ \)

\[\textbf{д)}\ y = \cos x + |\cos x|\]

\[\cos x > 0:\]

\[y = 2.\]

\[\cos{x \leq 0:}\]

\[y = 0.\]