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问题: 一道高一三角函数问题,谢谢

化简函数f(x)=cos^2 x+根号3sin xcos x +1

解答:

f(x)=(cosx)^2+(√3)sinxcosx+1
=[(1+cos2x)/2]+(√3/2)sin2x+1
=(1/2)cos2x+(√3/2)sin2x+(3/2)
=sin[2x+(π/6)]+(3/2)