题目

函数y=sin(-2x+π/3)的单调递减区间是

提问时间：2021-01-16

答案

∵y=sin(-2x+π/3)
=-sin(2x-π/3)
那么
2kπ-π/2≤2x-π/3≤2kπ+π/2
2kπ-π/2+π/3≤2x≤2kπ+π/2+π/3
2kπ-π/6≤2x≤2kπ+5π/6
kπ-π/12≤x≤kπ+5π/12
∴单调递减区间是[kπ-π/12,kπ+5π/12] （k∈z)