Which of the following has the maximum value unity: (a)` sin^2x-cos^2x` (b)` (sin2x-cos2x)/sqrt2` (c)`-(sin2x-cos2x)/sqrt2` (d)`(sqrt(6/5))(1/sqrt(2)sinx+sqrt(3)cosx)`

Which of the following has the maximum value unity: (a)sin ^(2)x-cos^(2)x(b)(sin2x-cos2x)/(sqrt(2))(c)-(sin2x-cos2x)/(sqrt(2)) (d) (sqrt((6)/(5)))((1)/(sqrt(2))sin x+sqrt(3)cos x)

Which of the following functions have the maximum value unity? a) sin^(2)x-cos^(2)xb)(sin2x-cos2x)/(sqrt(2)) c) -((sin2x-cos2x)/(sqrt(2)))sqrt((6)/(5))((1)/(sqrt(2))sin x+(1)/(sqrt(3))cos x)

2sin^(2)x+sqrt(3)cos x+1=0

int (dx)/(cosx sqrt(sin^2x-cos^2x))=

sqrt(sin 2x) cos 2x

int(dx)/(cos2x+sqrt(3)sin2x)

solve :sin((sqrt(x))/(2))+cos((sqrt(x))/(2))=sqrt(2)sin sqrt(x)

Prove that the maximum value of the function sin x+cos x is sqrt(2)

int(sinx+sin2x)/sqrt(cosx+cos2x)dx