If `(cos x)/(cos y)=2` and `cos(x-y)=(sqrt(3))/(2)` then `tan y=sqrt(alpha)-beta` value of `alpha-beta=`

let lim_(x rarr pi)(sin alpha x)/(1-2cos beta x)=-sqrt(3), then least positive value of alpha beta is

If cos(alpha+beta)=(5)/(13) and cos(alpha-beta)=(4)/(5) then find the value of tan2 beta

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

If cos alpha=(1)/(sqrt(2)),sin beta=(1)/(sqrt(3)), show that tan((alpha+beta)/(2))cot((alpha-beta)/(2))=5+2sqrt(6) or 5-2sqrt(6)

cos 2 alpha =(3 cos 2 beta -1)/( 3-cos 2 beta), then tan alpha=

Le alpha and beta be such that pi

If 0ltalpha,betaltpi and cos alpha+cos beta -cos(alpha+beta)=(3)/(2) , then the value of sqrt3 sin alpha+cos alpha is equal to

If cos2alpha=(3cos2beta-1)/(3-cos2beta) , then tan alpha is equal to

If (cos x-cos alpha) / (cos x-cos beta) = (sin ^ (2) alpha cos beta) / (sin ^ (2) beta cos alpha) then cos x =