`If cot alpha cot beta = 3,"show that", (cos (alpha - beta))/(cos (alpha + beta)) =2`

If cot alpha cot beta=2 , show that (cos (alpha+beta))/(cos (alpha-beta)) = 1/3 .

If cot alpha cot beta=2 , show that (cos (alpha+beta))/(cos (alpha-beta))=(1)/(3)

If cotalphacotbeta=3 ,show that (cos(alpha-beta))/(cos(alpha+beta))=2

If cot alpha cot beta=2 show that (cos(alpha+beta))/(cos(alpha-beta))=1/3

If tan alpha=k cot beta then (cos(alpha-beta))/(cos(alpha+beta)) is

If cos (beta - gamma) + cos (gamma - alpha) + cos (alpha - beta) = -3/2, "show that", cos alpha + cos beta + cos gamma = 0 "and" sin alpha + sin beta + singamma = 0."Hence deduce that," cos (beta - gamma) = cos (gamma - alpha) = cos (alpha - beta) = -1/2.

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