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

If 2tan alpha=3tan beta, prove that tan(alpha-beta)=(sin2 beta)/(5-cos2 beta)

If 2tan alpha=3tan beta, prove that tan(alpha-beta)=(sin2 beta)/(5-cos2 beta)

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

if tan alpha=2tan beta show that (sin(alpha+beta))/(sin(alpha-beta))=3

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

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

If tan beta=3tan alpha, prove that tan(alpha+beta)=(2sin2 beta)/(1+cos2 beta)

If 3sin alpha=5sin beta then the value of tan((alpha+beta)/(2))tan((alpha-beta)/(2))

Suppose alpha,beta and theta are angles satisfying 0

If tan theta=(tan alpha+tan beta)/(1+tan alpha tan beta) then show that sin2 theta=(sin2 alpha+sin2 beta)/(1+sin2 alpha sin2 beta)