知函数f(x)=sin(2x+π/3)-√3sin²x+sinxcosx+(√3)/2.求(1)f(x)的最小正周期(2)f(x)最大值及

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知函数f(x)=sin(2x+π/3)-√3sin²x+sinxcosx+(√3)/2.求(1)f(x)的最小正周期(2)f(x)最大值及知函数f(x)=sin(2x+π/3)-√3sin&

知函数f(x)=sin(2x+π/3)-√3sin²x+sinxcosx+(√3)/2.求(1)f(x)的最小正周期(2)f(x)最大值及
知函数f(x)=sin(2x+π/3)-√3sin²x+sinxcosx+(√3)/2.求(1)f(x)的最小正周期(2)f(x)最大值及

知函数f(x)=sin(2x+π/3)-√3sin²x+sinxcosx+(√3)/2.求(1)f(x)的最小正周期(2)f(x)最大值及
f(x)=sin(2x+π/3)-√3sin²x+sinxcosx+(√3)/2
=sin(2x+π/3)-√3(1-cos2x)/2+sinxcosx+(√3)/2
=sin(2x+π/3)+√3cos2x)/2+sinxcosx
=sin2xcosπ/3+cos2xsinπ/3)+√3cos2x)/2+sinxcosx
=sin2x+√3cos2x
=2sin(2x+π/3)
最小正周期为π,最大值2最小值-2