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

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)

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

If tan beta=(tan alpha+tan gamma)/(1+tan alpha tan gamma) and 2 beta=(sin2 alpha+sin2 gamma)/(lambda+sin2 alpha sin2 gamma) then find the value of lambda

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

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

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