`tan ^-1{{sqrt(1+cos x) +sqrt(1-cos x)}/{sqrt(1+cos x)- sqrt(1-cos x)}}`

tan ^(-1) ""{(sqrt(1+cos x)+sqrt(1-cos x)}/{sqrt(1+cosx)-sqrt(1-cos x)}}=(pi)/(4)+(x)/(2) , 0 lt x lt (pi)/(2)

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

If the function f(x)=(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x)) If the value of f((pi)/(3))=a+b sqrt(c) then a+b+c=

If pi

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

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

cos^(-1)(sqrt(1+cos x)/2)

Find the domain of each of the following functions: f(x)=sqrt((1-cos x)sqrt(((1-cos x))sqrt(((1-cos x))sqrt(cdots...cdots*oo))))