If `tan gamma=sec alpha sec beta+tan alpha tan beta,` then `cos2 gamma` is necessarily
(A) `ge0` (B) `le0` (C) `lt0` (D) `gt0`

If 2 sin alphacos beta sin gamma=sinbeta sin(alpha+gamma),then tan alpha,tan beta and gamma are in

If tan beta=2sin alpha sin gamma co sec(alpha+gamma) , then cot alpha,cot beta,cotgamma are in

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

If sin alpha=A sin(alpha+beta),Ane0 , then The value of tan beta is

If cos( alpha+beta) + sin(alpha-beta) = 0 and 2010tan beta - 1 = 0 then tan alpha is equal to

If (1)/(cos alpha * cos beta )+ tan alpha * tan beta = tan gamma , where 0 lt gamma lt (pi)/2 and alpha , beta are positive acute angles , show that (pi)/4 lt gamma lt (pi)/2

If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,cosvarphi=singamma//sinalpha and cos(theta-varphi) = sinbetasingamma , then the value of tan^2alpha-tan^2beta-tan^2gamma is equal to (a) -1 (b) 0 (c) 1 (d) 2

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

If alpha , beta, gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2 alpha + 2 tan^2 alpha tan^2 beta tan^2 gamma = 1 then sin^2 alpha + sin^2 beta + sin^2 gamma =