If `cosalpha=1/2(x+1/x)` `cosbeta=1/2(y+1/y)` then `cos(alpha-beta)` is equal to

If cos alpha =1/2(x+1/x),cos beta=1/2(y+1/y) then evaluate cos(alpha-beta)

If cosalpha=1/2(x+1/x)a n dcosbeta=1/2(y+1/y),(x y >0); x , y ,alpha,beta in R then (a) sin(alpha+beta+gamma)=singammaAAgamma in R (b) cosalphacosbeta=1AAalpha,beta in R (c) (cosalpha+cosbeta)^2=4AAalpha,beta in R (d) sin(alpha+beta+gamma)=sinalpha+sinbeta+singamma AAa , b ,gamma in R

If cosalpha=1/2(x+1/x)a n dcosbeta=1/2(y+1/y),(x y >0); x , y ,alpha,beta in R then sin(alpha+beta+gamma+singammaAAgamma in R cosalphacosbeta=1AAalpha,beta in R (cosalpha+cosbeta)^2=4AAalpha,beta in R sin(alpha+beta+gamma)=sinalpha+sinbeta+s ingammaAAa , b ,gamma in R

If cosalpha=1/2(x+1/x)a n dcosbeta=1/2(y+1/y),(x y >0); x , y ,alpha,beta in R then sin(alpha+beta+gamma+singammaAAgamma in R cosalphacosbeta=1AAalpha,beta in R (cosalpha+cosbeta)^2=4AAalpha,beta in R sin(alpha+beta+gamma)=sinalpha+sinbeta+s ingammaAAa , b ,gamma in R

if cosalpha=1/2(x+1/x)andcosbeta=1/2(y+1/y),(xygt0),x,y,alpha,beta, inR then

If x^(2)-2cos alpha x+1=0 and y^(2)-2cos beta y+1=0 then 2cos(alpha+beta) is equal to (i)((x)/(y))+((y)/(x))(ii)(x+(1)/(y))(y+(1)/(x))(iii) (iv) none of these

If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+beta equals

If x cos alpha + y sin alpha = x cos beta + y sin beta "then" (2(1-cos (alpha - beta)))/(cos beta - cos alpha)^(2)=

If cosalpha=cosbeta , then alpha+beta= ____

If cosalpha+cosbeta=1/3 and sinalpha+sinbeta=1/4 prove that cos(alpha-beta)/2=+-5/24