Question

Найдите область значений функциий:

Answer 1

1) $-1 leq sin frac{x}{2} leq 1\ -2 leq 2sin frac{x}{2} leq 2$
y∈[-2;2]

2)$-1 leq cos2x leq 1\ - frac{1}{2} leq frac{1}{2} cos2x leq frac{1}{2}$
y∈[$- frac{1}{2} ; frac{1}{2}$]

3)$-1 leq cos3x leq 1\ 1 leq 2+cos3x leq 3$
y∈[1;3]

4)$-1 leq sin2x leq 1\ -4 leq -3+sin2x leq -2$
y∈[-4;-2]