`(1+tanbetatan2beta)sin2beta=tan2beta`

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

If 3tan alpha=4tan beta ,then prove that tan(alpha-beta)=(sin beta*cos beta)/(3+sin^(2)beta)=(tan beta)/(4tan^(2)beta+3)

If tan alpha=(1-cos beta)/(sin beta), then a )tan3 alpha=tan2 beta(b)tan2 alpha=tan beta(c)tan2 beta=tan alpha(d) none of these

If tan(alpha-beta)=(sin2 beta)/(3-cos2 beta) then (a) tan alpha=2tan beta(b)tan beta=2tan alpha(c)2tan alpha=3tan beta(d)3tan alpha=2tan beta

If cos^2alpha-sin^2alpha=tan^2beta ,show that cos^2beta-sin^2beta=tan^2alpha

If 2 tan^2 alpha tan^2 beta tan^2 gamma+ tan^2 alpha tan^2 beta+ tan^2 beta tan^2 gamma+ tan^2 gamma tan^2 alpha=1 , prove that sin^2 alpha+ sin^2 beta+ sin^2 gamma =1 .

If 2tan^(2)alpha tan^(2)beta tan^(2)gamma+tan^(2)alpha tan^(2)beta+tan^(2)beta tan^(2)gamma+tan^(2)gamma tan^(2)alpha=1 prove that sin^(2)alpha+sin^(2)beta+sin^(2)gamma=1

If 2tanalpha=3tanbeta , then prove that then show that tan(alpha-beta)=(sin2beta)/(5-cos2beta)

If 2tanalpha=3 tanbeta , show that tan(alpha-beta)=(sin2beta)/(5-cos2beta)