2sinxcosx-cos(2x-π/6)化简

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2sinxcosx-cos(2x-π/6)化简2sinxcosx-cos(2x-π/6)化简2sinxcosx-cos(2x-π/6)化简2sinxcosx-cos(2x-π/6)=sin2x-cos

2sinxcosx-cos(2x-π/6)化简
2sinxcosx-cos(2x-π/6)化简

2sinxcosx-cos(2x-π/6)化简
2sinxcosx-cos(2x-π/6)
=sin2x-cos(2x-π/6)
=sin2x-√3/2cos2x-1/2sin2x
=1/2sin2x-√3/2cos2x
=-cos(2x+π/6)

原式=sin2X-(cos2Xcosπ/6+sin2Xsinπ/6)
=sin2X-cos2Xcosπ/6-1/2·sin2X
=-(cos2Xcosπ/6-sin2Xsinπ/6)
=-cos(2X+π/6)

sin(2x-π/3)