化简:sin(x+y)cosx-1/2[sin(2x+y)-siny]

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化简:sin(x+y)cosx-1/2[sin(2x+y)-siny]化简:sin(x+y)cosx-1/2[sin(2x+y)-siny]化简:sin(x+y)cosx-1/2[sin(2x+y)-

化简:sin(x+y)cosx-1/2[sin(2x+y)-siny]
化简:sin(x+y)cosx-1/2[sin(2x+y)-siny]

化简:sin(x+y)cosx-1/2[sin(2x+y)-siny]
sin(2x+y)=sin(x+y+x)=sin(x+y)*cosx+cos(x+y)*sinx
siny=sin(x+y-x)=sin(x+y)*cosx-cos(x+y)*sinx
所以,sin(x+y)cosx-1/2[sin(2x+y)-siny]
=sin(x+y)*cosx-cos(x+y)*sinx
=sin(x+y-x)
=siny