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

If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbeta,cotgamma are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

If tan beta=2sin alpha sin gamma co sec(alpha+gamma) , then cot alpha,cot beta,cotgamma are in

Given alpha+beta-gamma=pi, prove that sin^2alpha+sin^2beta-sin^2gamma=2sinalphasinbetacosgammadot

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 (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbeta),(beta!=gamma) then sin2alpha+sin2beta+sin2gamma= (a) 0 (b) 1 (c) 2 (d) 1/2

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

If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals

The expression cos^2(alpha+beta)+cos^2(alpha-beta)-cos2alpha.cos2beta, is (a)independent of alpha (b) independent of beta (c)independent of alphaa n dbeta (d)dependent on alphaa n dbeta

If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=tan(alpha/2)tan(beta/2)tan(gamma/2) (b) tan(alpha/2)tan(beta/2)+tan(beta/2)tan(gamma/2)+tan(gamma/2)tan(alpha/2)=1 (c) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=-tan(alpha/2)tan(beta/2)tan(gamma/2) (d)none of these

If alpha,beta,gamma are the roots of p x^2+q x^2+r=0, then the value of the determinant |alphabetabetagammagammaalphabetagammagammaalphaalphabetagammaalphaalphabetabetagamma| is p b. q c. 0 d. r