The value of expression of `(alphatangamma+betacotgamma)(alphacotgamma+betatangamma)-4alphabetacot^2 2gamma` depends on `alpha` (b) `beta` (c) `gamma` (d) none of these

The value of expression of (alpha tan gamma+beta cot gamma)(alpha cot gamma+beta tan gamma)-4 alpha beta cot^(2)2 gamma depends on alpha(b)beta(c)gamma(d) none of these

The expression cos^(2)(alpha + beta + gamma) + cos^(2)(beta + gamma) + cos^(2)alpha - 2cos alpha cos(beta + gamma)cos(alpha + beta + gamma) is

The expression cos^(2)(alpha + beta + gamma) + cos^(2)(beta + gamma) + cos^(2)alpha - 2cos alpha cos(beta + gamma)cos(alpha + beta + gamma) is (a) independent of alpha (b) independent of beta (c) dependent on gamma only (d) dependent on alpha, beta, gamma

Evaluate: |[alpha, beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,gamma+alpha,alpha+beta]|

Determine the values of alpha ,beta , gamma when [{:( 0, 2beta, gamma),( alpha ,beta, -gamma),( alpha ,-beta, gamma):}] is orthogonal.

Determine the values of alpha ,beta , gamma when [{:( 0, 2beta, gamma),( alpha ,beta, -gamma),( alpha ,-beta, gamma):}] is orthogonal.

The minimum value of the expression sin alpha+sin beta+sin gamma, where alpha,beta,gamma are real numbers satisfying alpha+beta+gamma=pi is

If alpha,beta,gamma are such that alpha+beta+gamma=2alpha^(2)+beta^(2)+gamma^(2)=6,alpha^(3)+beta^(3)+gamma^(3)=8, then alpha^(4)+beta^(4)+gamma^(4)