If `alpha+beta+gamma=6`, where `alpha,beta,gamma in R^(+),` then minimum value of the expression `(1)/(alpha)+(4)/(beta)+(9)/(gamma)` is` k `then value of `k` is :

alpha, beta, gamma are real number satisfying alpha+beta+gamma=pi . The minimum value of the given expression sin alpha+sin beta+sin gamma is

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

If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gamma))/(sinalpha+sinbeta+singamma)<1

If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value of (1+ alpha)/(1-alpha) + (1+ beta) / (1 - beta) + (1 + gamma) / (1 - gamma) is

If alpha , beta , gamma are the roots of x^3 + 3x^2 -4x +2=0 then the equation whose roots are (1)/( alpha beta) ,(1)/( beta gamma) ,(1)/( gamma alpha) is

If A= [(alpha,beta),(gamma,-alpha)] is such that A^(2)=1 , then

if alpha, beta, gamma are the roots of equation x^3-x-1=0 , then (1+alpha)/(1-alpha)+(1+beta)/(1-beta)+(1+gamma)/(1-gamma) is equal to

If alpha, beta and gamma the roots of the equation x^(3) + 3x^(2) - 4x - 2 = 0. then find the values of the following expressions: (i) alpha ^(2) + beta^(2) + gamma^(2) (ii) alpha ^(3) + beta^(3) + gamma^(3) (iii) (1)/(alpha)+(1)/(beta)+(1)/(gamma)

If alpha,beta,gamma are the roots of he euation x^3+4x+1=0, then find the value of (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1) .

If alpha + beta + gamma = π/2 and cot alpha, cot beta, cot gamma are in Ap. Then cot alpha. Cot gamma