It can be simplified: Cos(x+π/3) so the minimum value is-1.

2.

Simplified: Sin2X- 1, so the range is

3.

The maximum value is 5, and the minimum value is 1, with a difference of 4, so b=2.

Then 5=a+2, so a=3.

4.

Can be simplified: 2√3 sin(x+π/6)

So the range is [-2√3, -2√3]

5.

Can't understand the topic