If `tan alpha tan beta=sqrt((x-y)/(x+y)), "prove that" \ (x-ycos2alpha)(x-ycos2beta)=x^2-y^2`

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

if tan alpha-tan beta=x and cot beta-cot alpha=y prove that cot(alpha-beta)=(x+y)/(xy)

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=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, beta such that tan alpha: tan beta = x:y prove that sin (alpha-beta)=frac{x-y}{x+y}sin theta

If tan alpha=(x)/(x+1) and tan beta=(1)/(2x+1), then alpha+beta is

If tan alpha = (x sin beta)/(1-x cos beta) " and " tan beta = (y sin alpha)/(1-y cos alpha),"show that", (sin alpha)/(sin beta) = x/y .

If tan alpha=x+1,tan beta=x-1, show that 2cot(alpha-beta)=x^(2)