" If "y=(1)/(2)log[(1-cos2x)/(1+cos2x)]," then prove that "

If y,=(1)/(2)log((1-cos2x)/(1+cos2x)), prove that (dy)/(dx),=2cos ec2x

y=(1)/(2)log((1-cos2x)/(1+cos2x)), prove that (dy)/(dx)=2csc2x

If y=1/2log((1-cos2x)/(1+cos2x)) , prove that (dy)/(dx)=2\ cos e c\ 2x

[(d)/(dx)[log sqrt((1-cos2x)/(1+cos2x))]

If y=1/2log((1-cos2x)/(1+cos2x)),p rov et h a t(dy)/(dx)=2cos e c2x

If y=tan^(-1)sqrt((1-cos x)/(1+cos x)), prove that (dy)/(dx)=(1)/(2)

If y=(cos x)^((cosx)^((cos x )...oo)) then prove that dy/dx=(y^2 tan x)/(y log (cosx)-1).

If y=(x cos^(-1)x)/(sqrt(1-x^(2)))-log sqrt(1-x^(2)), then prove that (dy)/(dx)=(co^(1-x)x)/((1-x^(2))^((3)/(2)))

if y=sqrt((1-cos x )/(2)) , the n prove that (dy)/(dx)=1/2cos" x/2.