If `f(x)=(cotx)/(1+cotx)andalpha+beta=(5pi)/(4)`, then find `f(alpha).f(beta)`.

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

If alpha+beta=pi/4 then (1+tan alpha)(1+tan beta)=

If alpha+beta=pi/(4), then (1+"tan"alpha)(1+"tan"beta) is

Statement-1 If y=f(x) is increasing in [alpha,beta] , then its range is [f(alpha),f(beta)] Statement-2 Every increasing function need not to be continuous.

Let alpha (x) = f(x) -f (2x) and beta (x) =f (x) -f (4x) and alpha '(1) =5 alpha'(2) =7 then find the vlaue of beta'(1)-10

Let f(x) be a differentiable function and f(alpha)=f(beta)=0(alpha< beta), then the interval (alpha,beta)

Let f(x) be a second degree polynomial function such that f(-1)=f(1) and alpha,beta,gamma are in A.P. Then, f'(alpha),f'(beta),f'(gamma) are in

If f(x) = |{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),sin(x+beta),sin(x+gamma)),(sin(beta+gamma),sin(gamma+alpha),sin(alpha+beta)):}| then f(theta)-2f(phi)+f(psi) is equal to

if f(x)=(sin (x+alpha)/(sin(x+beta))),alpha ne beta then f(x) has

If f is a real valued function given by f(x)=27 x^3+1/(x^3)a n dalpha,beta are roots of 3x+1/x=2. Then, f(alpha)=f(beta)=-9 (b) f(alpha)=10 (c) f(beta)=-10 (d) none of these