`(sinx+cosx)^2+cos^2(pi/4+x) in`

The value of (sinx+cosx)^(2)+cos^(2)((pi)/(4)+x) lies in

The number of distinct roots of |(sinx, cosx, cosx),(cosx, sinx, cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (A) 0 (B) 2 (C) 1 (4) 2

simplify cos^(-1) ((sinx+cosx)/sqrt2) , pi/4 < x < (5pi )/4

simplify cos^(-1) ((sinx+cosx)/sqrt2) , pi/4 < x < (5pi )/4

The value of 3(sinx - cosx)^4 + 6(sinx + cosx)^2 + 4 (sin^6 x + cos^6 x) is

The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,cos x),(cos x,cos x,sin x)|=0 in the interval -(pi)/4 le x le (pi)/4 is