解答：y=sin(π/3-x/2)=-sin(x/2-π/3)增区间，即y=sin(x/2-π/3)的减区间∴2kπ+π/2≤x/2-π/3≤2kπ+3π/2即4kπ+5π/3≤x≤4kπ+11π/3结合x∈[-2π，2π]增区间是[5π/3,2π]和[-2π，-π/3]
