If ` 2 tan alpha/2=tan beta/2,`prove that ` cos alpha=(3+5 cos beta)/(5+3 cos beta).`

If 2tan(alpha)/(2)=tan((beta)/(2)), prove that cos alpha=(3+5cos beta)/(5+3cos beta)

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 "2 tan" (alpha)/(2) = "tan" (beta)/(2) "then" (3 + 5 cos beta)/(5 + 3 cos beta)=

If 2 tan""(alpha)/2= tan""(beta)/2 then (3+5cos beta)/(5+3cos beta)=

If alpha and beta are acute angles and cos2 alpha=(3cos2 beta-1)/(3-cos2 beta). Prove that :tan alpha=sqrt(2)tan beta

If 2tan alpha=3tan beta, then tan (alpha-beta)=(sin2 beta)/(5-cos2 beta)(b)(cos2 beta)/(5-cos2 beta)(c)(sin2 beta)/(5+cos2 beta)(d) none of these

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 alpha and beta are acute angles satisfying cos2 alpha=(3cos2 beta-1)/(3-cos2 beta), then tan alpha=sqrt(2)tan beta (b) (1)/(sqrt(2))tan beta(c)sqrt(2)cot beta(d)(1)/(sqrt(2))cot beta

If" " 2 tan alpha = 3 tan beta, " show that",tan ( alpha - beta) = (sin 2 beta)/(5- cos 2 beta).