m+tan alpha tan beta cos gamma=sqrt(3)

If alpha+ beta + gamma=90^(@) , then tan alpha+ tan beta + tan alpha tan beta cot gamma is __________

Let alpha,beta,gamma>0 and alpha+beta+gamma=(pi)/(2). Then prove that sqrt(tan alpha tan beta)+sqrt(tan beta tan gamma)+sqrt(tan alpha tan gamma)<=sqrt(3)

IF alpha , beta and gamma are angles such that tan alpha + tan beta + tan gamma = tan alpha tan beta tan gamma and x= cos alpha + i sin alpha , y = cos beta + i sin beta and z= cos gamma + i sin gamma , then xyz =

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 tan alpha, tan beta, tan gamma are the roots of equation x^3 - 3ax^2 + 3bx - 1 =0 , find the centroid of the triangle whose vertices are (tan alpha, cot alpha), (tan beta, cot beta) and (tan gamma, cot gamma) .

If cos(alpha + gamma)/cos(alpha - gamma) = cos 2beta then tan alpha, tan beta and tan gamma are

If alpha, beta and gamma are angle such that tan alpha + tan beta+tan gamma= tan alpha tan beta tan gammaand x=cos alpha + I sin alpha, y=cos beta+ I sin beta and z= cos gamma+ I sin gamma, then the value of xyz is -

If (sec alpha+tan alpha)(sec beta+tan beta)(sec gamma+tan gamma)=tan alpha tan beta tan gamma, then (sec alpha-tan alpha)(sec beta-tan beta)(sec gamma-tan gamma)=

If 2 sin alpha cos beta sin gamma=sin beta sin(alpha+gamma) then tan alpha , tan beta, tan gamma are in A) A.P.B) G.P.C) H.P.D) None of these