if `tanalpha -tanbeta =x` and `cotbeta-cotalpha =y` prove that `cot(alpha-beta) = (x+y)/(xy)`

If 2tanbeta+cotbeta=tanalpha , prove that cotbeta=2tan(alpha-beta)dot

If alpha+beta=theta and tan alpha:tan beta=x:y, prove that sin(alpha-beta)=(x-y)/(x+y)sin theta

If alpha+beta=theta and tan alpha:tan beta=x:y, prove that sin(alpha-beta)=(x-y)/(x+y)sin theta

If alpha+beta=theta and (tan alpha)/(tan beta) = x/y , prove that sin (alpha-beta) = (x-y)/(x+y) sin theta

If alpha+beta=theta and (tan alpha)/(tan beta)=(x)/(y), prove that sin(alpha-beta)=(x-y)/(x+y)sin theta

An angle theta is divided into two parts alpha " and " beta such that tan alpha : tan beta = x : y : " prove that ", sin (alpha - beta) =(x-y)/(x+y) sin theta.

If alpha + beta = 90^@ and beta + gamma = alpha then tanalpha-tanbeta=?

if tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha) then prove that tan(alpha-beta)=(1-n)tanalpha.

If 2tanalpha=3tanbeta , then prove that then show that tan(alpha-beta)=(sin2beta)/(5-cos2beta)

An angle theta is divided into two parts alpha, beta such that tan alpha: tan beta = x:y prove that sin (alpha-beta)=frac{x-y}{x+y}sin theta