函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?

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函数y=sin(x+π/2)cos(x+π/6)的单调递减区间是?
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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