(13.)/(x)(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

Show that: 3(sin x-cos x)^(4)+6(sin x+cos x)^(2)+4(sin^(6)x+cos^(6)x)=13

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

Q.the value of the integral int_(0)^((pi)/(4))(cos^(2)x)/(sin x+cos x)+int_((pi)/(4))^(0)(sin^(2))/(sin x+cos x)

If f(x) = 3(sin x - cos x)^(4) + 6(sin x + cos x)^(2) +4(sin^(6)x + cos^(6)x) and f(pi/7) = 13 then find f (2pi/7) .

(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)

prove that cot^(-1)[(cos x+sin x)/(cos x-sin x)]=(pi)/(4)-x

If f_(n)(x) = (sin x)/(cos3x)+(sin 3x)/(cos 3^(2)x) +(sin 3^(2)x)/(cos 3^(3)x) +....+ (sin 3^(n-1)x)/(cos 3^(n)x)"Then" f_(2) ((pi)/(4)) + f_(3) ((pi)/(4))=