f(x)=根号3sin^2x+sinxcosx-根号3/2

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f(x)=根号3sin^2x+sinxcosx-根号3/2

f(x)=根号3sin^2x+sinxcosx-根号3/2
f(x)=根号3sin^2x+sinxcosx-根号3/2

f(x)=根号3sin^2x+sinxcosx-根号3/2
f(x)=根号3sin^2x+sinxcosx-根号3/2
=sinxcosx-√3/2*(1-2sin²x)
=(1/2)sin2x-(√3/2)cos2x
=sin(2x)*cos(π/3)-cos(2x)sin(π/3)
=sin(2x-π/3)

f(x)=根号3sin^2x+sinxcosx-根号3/2
=√3/2(1-cos2x)+1/2sin2x-√3/2
=√3/2-√3/2cos2x+1/2sin2x-√3/2
=sin(2x-60°)

问题补充:要详细过程 f(x)=2cosxsin(x+π/3)-√3sin^2x+sinxcosx, x=kπ-3π/8 , k∈Z 最小值f(kπ-3π/8)=-(√6+√2)/2+