" If "tan alpha=x+1,tan beta=x-1," show that "2cot(alpha-beta)=x^(2)

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

If" " n tan alpha = (n+1) tan beta " then show that", tan (alpha - beta) = (sin 2 beta)/(2n + 1 - cos2 beta).

If x cos alpha + y sin alpha=x cos beta+y sin beta,"show that",y=x "tan"(alpha+beta)/2

If tan alpha - tan beta =m and cot alpha - cot beta =n , then prove that cot ( alpha - beta )= (1)/(m)- (1)/(n)

If sin 2 alpha = 4 sin 2 beta, "show that", 5tan ( alpha -beta) = 3 tan ( alpha +beta)

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

If cos alpha = k cos beta , "show that", "tan" ( alpha+beta)/2 = ( 1-k)/(1+k)"cot" (alpha-beta)/2

If sin2 alpha=4sin2 beta, show that 5tan(alpha+beta)=3tan(alpha+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).