[f'f'+beta=theta" and "(tan alpha)/(tan beta)=(x)/(y)" Prove shat "],[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

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.

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

If (sin (theta- alpha))/(sin (theta- beta))=(x)/(y) and (cos (theta- alpha))/(cos(theta-beta))=(a)/(b) , then show that cos(alpha- beta)=(ax+by)/(bx+ay) .

If tan beta=cos theta tan alpha , then prove that tan^(2)""(theta)/(2)=(sin(alpha-beta))/(sin(alpha+beta)) .

If tan beta=cos theta tan alpha , then prove that tan^(2)""(theta)/(2)=(sin(alpha-beta))/(sin(alpha+beta)) .