If f(x) =`|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),sin(x+beta),sin(x+gamma)),(sin(beta+gamma),sin(gamma+alpha),sin(alpha+beta)):}|` then
`f(theta)-2f(phi)+f(psi)` is equal to

" If " f(x) = |{:(cos(x+alpha),,cos(x+beta),,cos(x+gamma)),(sin(x+alpha) ,,sin(x+beta),,sin(x+gamma)),(sin(beta-gamma),, sin(gamma-alpha),,sin (alpha-beta)):}| and f(0)=2 theb find the value of Sigma_(r=1)^(30) | f(r )| .

If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+beta),sin(x+gamma)),(sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta))| and f(2)=6, then find 1/5 sum_(r=1)^25 f(r),

If f(x) = |(cos(x + alpha), cos(x+beta), cos(x + gamma)),(sin(x + alpha), sin(x+beta), sin(x + gamma)), (sin(beta - gamma), sin(gamma - alpha), sin(alpha - beta))| and f(2) = -2, then |sum_(r=1)^20 f(r)| equals

If f(x)=|{:(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+beta),sin(x+gamma)),(sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta)):}| and f(2) =5 "the" overset(20)underset(r=1)sumf(r) is equal to

If ,cos(x+alpha)cos(x+beta),cos(x+gamma)sin(x+alpha),sin(x+beta),sin(x+gamma)sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta) and f(0)=-2, then ,sum_(r=1)^(30)|f(r)| equals

If ,cos(x+alpha)cos(x+beta),cos(x+gamma)sin(x+alpha),sin(x+beta),sin(x+gamma)sin(beta-gamma),sin(gamma-alpha),sin(alpha-beta) and f(2),=6, then find (1)/(5)sum_(r=1)^(25)f(r)

lf, cos (x + alpha) cos (x + beta), cos (x + gamma) sin (x + alpha), sin (x + beta), sin (x + gamma) sin (beta + gamma), sin ( gamma-alpha), sin (alpha-beta) then (Given alpha! = beta! = gamma), sin (alpha-beta)

If cos alpha + cos beta + cos gamma = 3 then sin alpha + sin beta + sin gamma =

If cos alpha+cos beta+cos gamma=0=sin alpha+sin beta+sin gamma then x^(sin(2 alpha-beta-gamma)*x^(sin(2 beta-gamma-alpha)))*x ^(sin(2 gamma-alpha-beta)) is