sin^2 x+sinxcosx化简求化简后单调递减区间

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sin^2x+sinxcosx化简求化简后单调递减区间sin^2x+sinxcosx化简求化简后单调递减区间sin^2x+sinxcosx化简求化简后单调递减区间sin^2x+sinxcosx=(1-

sin^2 x+sinxcosx化简求化简后单调递减区间
sin^2 x+sinxcosx化简
求化简后单调递减区间

sin^2 x+sinxcosx化简求化简后单调递减区间
sin^2 x+sinxcosx=(1-cos2x)/2+(sin2x)/2=1/2+(1/2)(sin2x-cos2x)=1/2+(√2/2){[(√2)/2]sin2x-[(√2)/2]cos2x}
=1/2+(√2/2)sin(2x+π/4)