y=cos(2x+π/3)的单调增区间是[kπ-2π/3,kπ-π/6],k∈Z
由2kπ-π≤2x+π/3≤2kπ,k∈Z
得kπ-2π/3≤x≤kπ-π/6,k∈Z
∴...
函数y=sin(π/3-x)的单调增区间是[kπ+5π/12,kπ+11π/12],k∈Z
y=sin(π/3-x)=-sin(x-π/3)
由2kπ+π/2≤x-π/3≤2kπ+3π/2,k∈Z
得kπ+5π/12≤x≤kπ+11π/12,k∈Z
∴...还有一个，在上面y=sin(x+π/3)的单调增区间是[kπ-5π/12.kπ+π/12],k∈Z由2kπ-π/2≤x+π/3≤2kπ+π/2,k∈Z得kπ-5π/12≤x≤kπ+π/12,k∈Z