[-20." If tana "-tan beta=x" and "cot beta-cot alpha=y" ,prove that "],[qquad cot(alpha-beta)=(x+y)/(xy)]

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

if tanalpha -tanbeta =x and cotbeta-cotalpha =y prove that cot(alpha-beta) = (x+y)/(xy)

If 2 tan beta + cot beta = tan alpha , prove that 2 tan (alpha-beta) = cot beta

If 2tan beta+cot beta=tan alpha, prove that cot beta=2tan(alpha-beta)

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

If 2 tan beta+cot beta= tan alpha , prove that cot beta= 2 tan (alpha-beta) .

if 2tan beta+cot beta=tan alpha then prove that cot beta=2tan(alpha-beta)

If alpha+beta=theta and tan alpha:tan beta=x:y, prove that sin(alpha-beta)=(x-y)/(x+y)sin theta

If alpha+beta=theta and tan alpha:tan beta=x:y, prove that sin(alpha-beta)=(x-y)/(x+y)sin theta

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