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

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

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

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

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

tan alpha=cot beta=a, find (alpha+beta)

If tan^(2) alpha+ 2tan alpha tan 2 beta= tan^(2) beta+ 2 tan beta tan 2 alpha, show that tan beta=+- tan alpha .

If tan beta = 3 tan alpha, prove that tan (alpha + beta) = (2sin 2beta)/(1+cos 2beta)

If tan beta=3tan alpha, prove that tan(alpha+beta)=(2sin2 beta)/(1+cos2 beta)

If tan 2alpha = cot 2beta , then sec(alpha + beta) =