is `y=sqrt((1-sin2x)/(1+sin2x)),` show that `(dy)/(dx)+sec^2(pi/4-x)=0`

If y=sqrt((1-sin2x)/(1+sin2x)) , show that dy/dx+sec^2(pi/4-x)=0

If y= y=sqrt((1-sin 2x )/(1+sin 2 x)) prove that (dy)/(dx)+sec^2(pi/4-x)=0.

If y=log sqrt((1+sin^(2)x)/(1-sin^(2)x)), then find (dy)/(dx)

If y={(1-tan x)/(1+tan x)}, show that (dy)/(dx)=(-2)/(1+sin2x)

If y=tan^(-1)sqrt((1-sin x)/(1+sin x)), then the value of (dy)/(dx) at x=(pi)/(6) is.

If y= tan ^(-1) sqrt (( 1 - sin x)/( 1 + sin x)) , then the vluae of (dy)/(dx) at x = pi /2 is

Ify,=sqrt(((1+cos x)/(2))), provethat (dy)/(dx)=-(1)/(2)(sin x)/(2) If y,=sqrt((1+sin x)/(1-sin x)), prove that cos x(dy)/(dx)=y

If y=cot^(-1){(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))} Show that (dy)/(dx) is independent of x]}

If y = {(1-tanx)/(1+tanx)} , show that (dy)/(dx) = (-2)/((1+sin2x)) .