化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)

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化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)化简sin(x+y)cos(x-y)+cos(x+y)sin

化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)

化简sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
=sin(x+y+x-y)
=sin2x

sin(A+B) = sinAcosB + cosAsinB
A = x+y
B= x-y
sin(x+y)cos(x-y)+cos(x+y)sin(x-y)
= sin( x+y + x-y)
=sin2x

sin2x