If the normals at `alpha, beta,gamma` and `delta` on an ellipse are concurrent then the value of `(sigma cos alpha)(sigma sec alpha)` I

If alpha, beta , gamma are angles of a triangle then the value of (sin^(2) alpha + sin ^(2) beta+sin ^(2) gamma-2 cos alpha cos beta cos gamma) is-

If alpha,beta, gamma are any three angles , then cos alpha + cos beta - cos gamma - cos (alpha+beta+gamma)=

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

Suppose alpha,beta,gamma and delta are the interior angles of regular pentagon,heagon,decagon,and dodeccagon,respectively,then the value of |cos alpha sec beta cos gamma csc delta| is

If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) then the value of cot alpha cot beta cot gamma, is

If cos(alpha+beta)sin(gamma +delta) = cos(alpha-beta)sin(gamma-delta) , then the value of cotalpha*cotbeta.cotgamma is :

If alpha,beta,gamma and delta are roots of equation x^(4)-7x^(2)+x-5=0, then the value of (alpha+beta+gamma)(alpha+beta+delta)(beta+gamma+delta)(alpha+gamma+delta) is equal to