当2kπ-π/2≤π/3-2x≤2kπ+π/2时,y单调增
则-kπ+5π/12≥x≥-kπ-π/12
故单调递增区间是:[kπ-π/12,kπ+5π/12]
令π/3-2x=kπ+π/2,则x=-kπ/2-π/12
对称中心点坐标(kπ/2-π/12,±1) k是整数
当2kπ-π/2≤π/3-2x≤2kπ+π/2时,y单调增
则-kπ+5π/12≥x≥-kπ-π/12
故单调递增区间是:[kπ-π/12,kπ+5π/12]
令π/3-2x=kπ+π/2,则x=-kπ/2-π/12
对称中心点坐标(kπ/2-π/12,±1) k是整数