函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/04 06:44:38
函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?函

函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?
函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?

函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?
函数y=sin(x+π/2)cos(x+π/6)=cosxcos(x+π/6)=cosx(√3/2cosx-1/2sinx)=-1/4sin2x+√3/4cos2x+√3/4=1/2sin(2x+2π/3)+√3/4
令2kπ+π