Question

36 номер пожалуйста !

Answer 1

$1)\; \; y=4cos(x+\frac{\pi }{6})-3\\\\D(y)=R=(-\infty ,+\infty )\\\\-1\leq cos(x+\frac{\pi }{6})\leq 1\; \; \to \; \; -4\leq 4cos(x+\frac{\pi }{6})\leq 4\\\\-7\leq 4cos(x+\frac{\pi}{6})\leq 1\\\\E(y)=[-7;1\, ]\\\\\\2)\; \; y=\frac{1}{2}\, sin(x-\frac{\pi}{4})+1,5\\\\D(y)=R \\\\-1\leq sin(x-\frac{\pi}{4})\leq 1\; \; \to \; \; -\frac{1}{2}\leq \frac{1}{2}\, sin(x-\frac{\pi }{4})\leq \frac{1}{2}\\\\1\leq 0,5sin(x-\frac{\pi}{4})+1,5\leq 2\\\\E(y)=[\, 1;2\, ]$