" 53.If "y=(sin x-cos x)^(sin x-cos x),(pi)/(4)

If y=(sin x-cos x)^(sin x-cos x),(pi)/(4)

Differentiate (sin x - cos x)^(sin x -cos x) , (-pi)/(4) lt x lt (3pi)/4

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

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

Prove that : int_(0)^(pi//2) (x sin x cos x)/(sin^(4) x+ cos^(4)x)dx =(pi)/(16)

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

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

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

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

Prove that (i) cos (n + 2) x cos (n+1) x +sin (n+2) x sin (n+1) x = cos x) (ii) " cos " .((pi)/(4)-x) " cos " .((pi)/(4)-y) " - sin " ((pi)/(4)-x ) " sin " ((pi)/(4) -y) =" sin " (x+y)