`"If" (cot(alpha -beta))/(cot alpha) + (cos^(2) gamma)/(cos^(2) alpha) = 1," show that, " tan^(2) gamma + tan alpha cot beta = 0.`

If (cot(alpha-beta))/cotalpha+(cos^2gamma)/(cos^2alpha)=1 show that tan^2gamma+tanalphacotbeta=0

If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatanbetatangamma , then (secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma)= ........................ (A) cot alpha cot beta cot gamma (B) tan alpha tan beta tan gamma (C) cot alpha + cot beta + cot gamma (D) tan alpha +tan beta + tan gamma

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

cos (alpha + beta + gamma ) + cos (alpha - beta - gamma) + cos ( beta - gamma - alpha ) + cos ( gamma - alpha - beta )=

If cos beta cos (gamma- alpha)= cos (alpha- beta+ gamma) , prove that cot alpha+ cot y= 2cot beta

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

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

If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1, then tan alpha tan beta is equal to

If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1, then tan alpha tan beta is equal to

If |{:(1,cos alpha, cos beta),(cos alpha, 1 , cos gamma ),(cos beta, cos gamma , 1):}|=|{:(0,cos alpha, cos beta),(cos alpha , 0 , cos gamma),(cos beta, cos gamma, 0):}| then the value of cos^2 alpha + cos^2 beta + cos^2 gamma is :