cos3A/2+cosA/2
=2 cos[(3A/2+A/2)/2] cos[(3A/2-A/2)/2]
=2 cosA cos(A/2)
sin3A/2+sinA/2
=2 sin[(3A/2+A/2)/2] cos[(3A/2-A/2)/2]
=2 sinA cos(A/2)
cos3A/2-cosA/2
=-2 sin[(3A/2+A/2)/2] sin[(3A/2-A/2)/2]
=-2 sinAsin(A/2)
cos3A/2+cosA/2
=2 cos[(3A/2+A/2)/2] cos[(3A/2-A/2)/2]
=2 cosA cos(A/2)
sin3A/2+sinA/2
=2 sin[(3A/2+A/2)/2] cos[(3A/2-A/2)/2]
=2 sinA cos(A/2)
cos3A/2-cosA/2
=-2 sin[(3A/2+A/2)/2] sin[(3A/2-A/2)/2]
=-2 sinAsin(A/2)