g(x)=2sin2x-2sin(2x+π/3)怎样变成g(x)=2sin2x-2[(sin2x)*(1/2)+(cos2x)(√3/2)]

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g(x)=2sin2x-2sin(2x+π/3)怎样变成g(x)=2sin2x-2[(sin2x)*(1/2)+(cos2x)(√3/2)]
g(x)=2sin2x-2sin(2x+π/3)怎样变成g(x)=2sin2x-2[(sin2x)*(1/2)+(cos2x)(√3/2)]

g(x)=2sin2x-2sin(2x+π/3)怎样变成g(x)=2sin2x-2[(sin2x)*(1/2)+(cos2x)(√3/2)]
将sin(2x+π/3)用诱导公式换;sin(α+β)=sinαcosβ+cosαsinβ sin π/3=√3/2 cosπ/3=1/2