| sin(x+y) | 
| cos(x+y) | 
| sin(x−y) | 
| cos(x−y) | 
=
| sin[(x+y)+(x−y)] | 
| cos2x•cos2y−sin2x•sin2y | 
=
| sin2x | 
| cos2x−(cos2x+sin2x)sin2y | 
=
| sin2x | 
| cos2x−sin2y | 
| sin2x | 
| cos2x−sin2y | 
| sin(x+y) | 
| cos(x+y) | 
| sin(x−y) | 
| cos(x−y) | 
| sin[(x+y)+(x−y)] | 
| cos2x•cos2y−sin2x•sin2y | 
| sin2x | 
| cos2x−(cos2x+sin2x)sin2y | 
| sin2x | 
| cos2x−sin2y |