sinx+siny=2sin[(a+b)/2]cos[(a-b)/2]sinx-siny=cosx+cosy=cosx-cosy=sinxcosy=cosxsiny=cosxcosy=sinxsiny=

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sinx+siny=2sin[(a+b)/2]cos[(a-b)/2]sinx-siny=cosx+cosy=cosx-cosy=sinxcosy=cosxsiny=cosxcosy=sinxsiny=
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sinx+siny=2sin[(a+b)/2]cos[(a-b)/2]sinx-siny=cosx+cosy=cosx-cosy=sinxcosy=cosxsiny=cosxcosy=sinxsiny=
sinx+siny=2sin[(a+b)/2]cos[(a-b)/2]
sinx-siny=
cosx+cosy=
cosx-cosy=
sinxcosy=
cosxsiny=
cosxcosy=
sinxsiny=

sinx+siny=2sin[(a+b)/2]cos[(a-b)/2]sinx-siny=cosx+cosy=cosx-cosy=sinxcosy=cosxsiny=cosxcosy=sinxsiny=
sinx-siny= 2cos[(a+b)/2]sin[(a-b)/2]
cosx+cosy= 2cos[(a+b)/2]cos[(a-b)/2]
cosx-cosy= -2sin[(a+b)/2]sin[(a-b)/2]
sinxcosy= [sin(a+b)+sin(a-b)]/2
cosxsiny= [sin(a+b)-sin(a-b)]/2
cosxcosy= [cos(a+b)+cos(a-b)]/2
sinxsiny=-[cos(a+b)-cos(a-b)]/2