已知函数f(x)=2sin(2x-π/3)-1

1、最小正周期T=2π/2=π.
2、由2kπ-π/2≤2x-π/3≤2kπ+π/2(k∈Z),
得kπ-π/12≤x≤kπ+5π/12(k∈Z)
函数f(x)=2sin(2x-π/3)-1的单调增区间是[kπ-π/12,kπ+5π/12](k∈Z).
3、∵π/6≤x