If `tan theta =(tan alpha + tan beta)/(1+tan alpha tan beta)` then show that `sin2 theta = (sin 2 alpha +sin 2 beta)/(1+sin2 alpha sin 2 beta)`

If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)

If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show that", sin 2 theta=(sin 2 alpha- sin 2 beta)/(1- sin2 alpha sin 2 beta).

If tan beta=(tan alpha + tan gamma)/(1+ tan alpha . tan gamma) Prove that sin 2 beta =(sin 2 alpha + sin 2 gamma)/(1+ sin 2 alpha . Sin 2 gamma)

If tan beta=(tan alpha+tan gamma)/(1+tan alpha tan gamma)* prove that sin2 beta=(sin2 alpha+sin2 gamma)/(1+sin2 alpha sin2 gamma)

If tan(alpha+beta)=n tan(alpha-beta) then show that (n+1)sin2 beta=(n-1)sin2 alpha

tan (alpha + beta) tan (alpha-beta) = (sin ^ (2) alpha-sin ^ (2) beta) / (cos ^ (2) alpha-sin ^ (2) beta)

sin alpha sin beta-cos alpha cos beta=1 then show that tan alpha+tan beta=0

If n tan alpha=(n+1)tan beta then show that tan(alpha-beta)=(sin2 beta)/(2n+1-cos2 beta)

sin alpha + sin beta = a "and" cos alpha + cos beta = b (tan alpha + tan beta)/(1-tan alpha tan beta)=

Prove that (cos2 alpha-cos 2 beta)/(sin2 alpha+sin2 beta)=tan(beta-alpha)