#sin (2x) = (2tan x)/(1+tan^2x)#
#sqrt((1-sin (2x)) / (1+sin(2x)))#
#=> sqrt((1- ((2tan x) / (1+tan^2 x)))/ (1+ ((2 tan x) / (1+tan^2theta))#
#=> sqrt(((1+tan^2 x-2tan x) / cancel(1+tan^2 x))/((1+tan^2 x-2tan x) / cancel(1+tan^2 x)))#
#=> sqrt((1-tan x)^2 / (1+tan x)^2)#
#=> (((1-tan x)/(1+tan x))^cancel2)^cancel(1/2)#
#=> (1-tan x) / (1+tan x)#