cos²x-cos²y=1/3
sin(x+y)sin(x-y)
=(sinxcosy+cosxsiny)(sinxcosy-cosxsiny)
=sin²xcos²y-cos²xsin²y
=(1-cos²x)cos²y-cos²x(1-cos²y)
=cos²y-cos²xcos²y-cos²x+cos²xcos²y
=cos²y-cos²x
=-1/3
cos²x-cos²y=1/3
sin(x+y)sin(x-y)
=(sinxcosy+cosxsiny)(sinxcosy-cosxsiny)
=sin²xcos²y-cos²xsin²y
=(1-cos²x)cos²y-cos²x(1-cos²y)
=cos²y-cos²xcos²y-cos²x+cos²xcos²y
=cos²y-cos²x
=-1/3