1
First, expand the terms:(sin^2 45 + cos^2 45)^2 = 1^2 = 1(sin^2 45 - cos^2 45)^2 = (1/2 - 1/2)^2 = 0
Therefore, (sin^2 45 + cos^2 45)^2 + (sin^2 45 - cos^2 45)^2 = 1 + 0 = 1
1
First, expand the terms:
(sin^2 45 + cos^2 45)^2 = 1^2 = 1
(sin^2 45 - cos^2 45)^2 = (1/2 - 1/2)^2 = 0
Therefore, (sin^2 45 + cos^2 45)^2 + (sin^2 45 - cos^2 45)^2 = 1 + 0 = 1