[29.quad (sin x+cos x)^(2)+cos^(2)((pi)/(4)+x)in],[1)[0,1][0,2]quad 3)[1,2]]

The range of (sin x-cos x)^(2)+cos^(2)((pi)/(4)-x)

The range of (sin x-cos x)^(2)+cos^(2)((pi)/(4)-x) is A) [1,2] B) [-(1)/(4),(3)/(4)] C) [(3)/(4) , 1] D) [(3)/(2),2]

cos x-sin x = sqrt (2) cos (x + (pi) / (4))

cos(2pi -x) cos (-x) - sin(2pi +x) sin (-x) = 0

cos^(-1)((sin x+cos x)/(sqrt(2))),(pi)/(4) lt x lt (5pi)/4

If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + cos^(4) x + sin^(2) x cos^(2) x) , x in ( 0, (pi)/(2) ) , then

cos ^ (2) (pi / 4 + x) -sin ^ (2) (pi / 4-x)

cos^(2)""((pi)/(4) +x ) - sin^(2) ""((pi)/4- x ) =