求函数f(x)=-3sin(2x-π/6)的单调递减区间
即求y=3sin(2x-π/6)的单调增区间
∴ 2kπ-π/2≤2x-π/6≤2kπ+π/2,k∈Z
∴ 2kπ-π/3≤2x≤2kπ+2π/3,k∈Z
∴ kπ-π/6≤x≤kπ+π/3,k∈Z
∴ 函数f(x)=-3sin(2x-π/6)的单调递减区间为[kπ-π/6,kπ+π/3],k∈Z
求函数f(x)=-3sin(2x-π/6)的单调递减区间
即求y=3sin(2x-π/6)的单调增区间
∴ 2kπ-π/2≤2x-π/6≤2kπ+π/2,k∈Z
∴ 2kπ-π/3≤2x≤2kπ+2π/3,k∈Z
∴ kπ-π/6≤x≤kπ+π/3,k∈Z
∴ 函数f(x)=-3sin(2x-π/6)的单调递减区间为[kπ-π/6,kπ+π/3],k∈Z