Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 130

\[1)\ y = 2\sin\left( \frac{x}{2} + \frac{\pi}{3} \right) - 2\]

\[2)\ y = \cos x - \sqrt{\cos^{2}x}\]

\[y = \cos x - \left| \cos x \right|.\]

\[\cos x \geq 0:\]

\[y = \cos x - \cos x = 0.\]

\[\cos x < 0:\]

\[y = \cos x + \cos x = 2\cos x.\]

\[3)\ y = \cos|x|\]

\[4)\ y = - \sin x\]

\[5)\ y = \sin x + \left| \sin x \right|\]

\[\sin x \geq 0:\]

\[y = \sin x + \sin x = 2\sin x.\]

\[\sin x < 0:\]

\[y = \sin x - \sin x = 0.\]

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

\[\sin x = 0:\]

\[y = 2^{0} = 1.\]

\[\sin x = 1:\]

\[y = 2^{1} = 2.\]

\[\sin x = - 1:\]

\[y = 2^{- 1} = 0,5.\]