-π/2+2kπ≤x-π/3≤π/2+2kπ,则-π/6+2kπ≤x≤5π/6+2kπ
π/2+2kπ≤x-π/3≤3π/2+2kπ,则5π/6+2kπ≤x≤11π/6+2kπ
所以单调增区间为[5π/6+2kπ,11π/6+2kπ]k∈Z
单调减区间为[-π/6+2kπ,5π/6+2kπ]k∈Z