If `(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))=cot(a+x/2)` and `x in (pi,2pi)` then 'a' is equal to :

If piltxlt2pi then (sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))

Consider the function f(x)=(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cos x)) then Q. If x in (pi, 2pi) then f(x) is

Consider the function f(x)=(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cos x)) then Q. If x in (pi, 2pi) then f(x) is

int(sqrt(1+cosx))/(1-cosx)dx=

If piltxlt2pi, prove that (sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))=cot(x/2+pi/4)dot

Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))}=pi/4+x/2 ,

Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))}=pi/4+x/2 ,

Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(1-cosx))}=pi/4+x/2

Simplest form of tan^(-1)((sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))), pi lt x lt (3pi)/2 is :

If pi < x < 2pi, prove that (sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))="cot(x/2+pi/4)dot