" Let "f(theta)=(cot theta)/(1+cot theta)" and "alpha+beta=(5 pi)/(4)" .Then the value of "f(alpha)f(beta)=

Let f(theta) =(cot theta)/(1+ cot theta) and alpha + beta=(5pi)/4 , then the value of f(alpha)f(beta) is:

Let f(theta)=(cot theta)/(1+cot theta) and alpha+beta=(5 pi)/(4) then the value f(alpha)f(beta) is

Let f(theta)=cottheta/(1+cottheta) and alpha+beta=(5pi)/4 then the value f(alpha)f (beta) is

Let f(theta)=cottheta/(1+cottheta) and alpha+beta=(5pi)/4 then the value f(alpha)f (beta) is

let f(theta)=(tan theta)/(1+tan theta) and alpha+beta=3(pi)/(4) the value of 2f(alpha)f(beta) is equal to

let f(theta)=(tan theta)/(1+tan theta) and alpha+beta=3(pi)/(4) the value of 2f(alpha)f(beta) is equal to

Statement-I : If f(theta)=(cot theta)/(1+cot theta) and alpha+ beta=(5pi)/(4) then f(alpha) f(beta)=(1)/(2) Statement-II : If alpha+ beta=(pi)/(2) and beta+ gamma= alpha then tan alpha= tan beta+ 2tan gamm Statement-III sin^(2) alpha+ cos^(2) (alpha+ beta)+2 sin alpha beta cos (alpha+beta) is independent of alpha only

Let f(theta)=(1)/(1+(cot theta)^(x)), and S=sum_(theta=1)^(89)f(theta) then the value of sqrt(2S-8) is