" Let "f(theta)=(1+(cot theta)^(gamma))/(1+(cot theta)^(gamma))ands-sum f(theta)" .Then the value of "

Let f(theta)=(1)/(1+(cottheta)^(x))andS=sum_(theta=1^(o))^(89^(@))f(theta) . Then the value of sqrt(2S-8) =

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

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)=1/(1+(cottheta)^x)and S=sum_(theta=1^@)^(89^@) f(theta) , then the value of S 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)=(cot theta)/(1+cot(theta)) and alpha+beta=(5 pi)/(4) then the value of f(alpha)*f(beta) is (a)1/2 (b) -1/2 (c)2(d) none of these

(1+tan^(2)theta)/(1+cot^(2)theta)=((1-tan theta)/(1-cot theta))^(2)