[cos4 A - sin4A] is equal to:
2 sin2 A - 1
2 sin2 A + 1
2 cos2 A - 1
2 cos2 A + 1
cos4 A - sin4A
= cos4 A - (1 - cos2A)2
= cos4 A - (1 + cos4A - 2 cos2A)
= 2 cos2 A - 1