y=sin(2x−π3)的减区间为_.
问题描述:
y=sin(2x−
)的减区间为______. π 3
答
令π2+2kπ≤2x-π3≤3π2+2kπ,k∈Z,化简得,5π6+2kπ≤2x≤11π6+2kπ,k∈Z∴kπ+5π12≤x≤kπ+11π12, k∈Z∴函数y=sin(2x−π3)的减区间为[kπ+5π12,kπ+11π12] k∈Z故答案为[kπ+5π12,k...