Home
Class 12
MATHS
If alpha,beta,gamma are three real numbe...

If `alpha,beta,gamma` are three real numbers and `A=[1"cos"(alpha-beta)"cos"(alpha-gamma)cos(beta-alpha)1"cos"(beta-gamma)"cos"(gamma-alpha)"cos"(gamma-beta)1]` , then which of following is/are true? `A` is singular b. `A` is symmetric c. `A` is orthogonal d. `A` is not invertible

Promotional Banner

Similar Questions

Explore conceptually related problems

If cos (beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-(3)/(2) then

cos alphasin(beta-gamma)+cosbetasin(gamma-alpha)+cos gammasin(alpha-beta)=

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

For all value of alpha,beta,gamma prove that ,cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos(alpha+beta)/2*cos(beta+gamma)/2*cos(gamma+alpha)/2

Prove that : cos^2 (beta-gamma) + cos^2 (gamma-alpha) + cos^2 (alpha-beta) =1+2cos (beta-gamma) cos (gamma-alpha) cos (alpha-beta) .

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

If alpha+beta+gamma=2 theta, then cos theta+cos(theta-alpha)+cos(theta-beta)+cos(theta-gamma)

Prove that cos alpha+cos beta+cos gamma+cos(alpha+beta+gamma)=4cos((alpha+beta)/(2))cos((beta+gamma)/(2))cos((gamma+alpha)/(2))

Prove that cos alpha+cos beta+cos gamma+cos(alpha+beta+gamma)=4cos((alpha+beta)/(2))cos((beta+gamma)/(2))cos((gamma+alpha)/(2))