(1)增区间:【2kπ,2kπ+π】减区间:【2kπ+π,2kπ+2π】;(2)增区间满足:2kπ-π/2≤1/2x-π/3≤2kπ+π/22kπ-π/6≤1/2x≤2kπ+5π/64kπ-π/3≤x≤4kπ+5π/3即增区间为【4kπ-π/3,4kπ+5π/3】同理减区间为:【4kπ+5π/3,4kπ+11π/3]