设t=3x+π/3,则y=sin(3x+π/3)=sint的单调递增区间为:
2kπ-π/2≤t≤2kπ+π/2,k∈Z
也即2kπ-π/2≤3x+π/3≤2kπ+π/2
得2kπ/3-5π/18≤x≤2kπ/3+π/18,k∈Z
单调递减区间为:
2kπ+π/2≤3x+π/3≤2kπ+3π/2
得2kπ/3+π/18≤x≤2kπ/3+7π/18,k∈Z
设t=3x+π/3,则y=sin(3x+π/3)=sint的单调递增区间为:
2kπ-π/2≤t≤2kπ+π/2,k∈Z
也即2kπ-π/2≤3x+π/3≤2kπ+π/2
得2kπ/3-5π/18≤x≤2kπ/3+π/18,k∈Z
单调递减区间为:
2kπ+π/2≤3x+π/3≤2kπ+3π/2
得2kπ/3+π/18≤x≤2kπ/3+7π/18,k∈Z