sin(派/4-x)sin(派/4+x)
=(sinπ/4cosx-cosπ/4sinx)*(sinπ/4cosx+cosπ/4sinx)
=(sinπ/4cosx)^2-(cosπ/4sinx)^2
=(cosx)^2/2-(sinx)^2/2
=(cos2x)/2
sin(派/4-x)sin(派/4+x)
=(sinπ/4cosx-cosπ/4sinx)*(sinπ/4cosx+cosπ/4sinx)
=(sinπ/4cosx)^2-(cosπ/4sinx)^2
=(cosx)^2/2-(sinx)^2/2
=(cos2x)/2