[" 33.The value of "tan(alpha-beta)+tan(beta-gamma)+tan(gamma-alpha)=],[[" (1) "0," (2) "-tan(alpha-beta)tan(beta-gamma)tan(gamma-alpha)],[" (3) "tan(alpha-beta)tan(beta-gamma)tan(gamma-alpha)," (4) "1],[" 34."tan5x-tan3x-tan2x" is equal to "]]

Prove that: tan(alpha-beta)+tan(beta-gamma)+tan (gamma-alpha) = tan(alpha-beta) tan (beta-gamma) tan (gamma-alpha) .

tan(alpha-beta)+tan(beta-alpha)+tan(gamma-alpha)=tan(alpha-beta)tan(beta-gamma)tan(gamma-alpha) Reason (R):In Delta ABC sum tan A=pi tan A

If alpha + beta + gamma = pi , show that : tan (beta+gamma-alpha) + tan (gamma+alpha-beta) + tan (alpha+beta-gamma) = tan (beta+gamma-alpha) tan (gamma+alpha-beta) tan (alpha+beta-gamma)

If alpha + beta + gamma = pi , show that : tan (beta+gamma-alpha) + tan (gamma+alpha-beta) + tan (alpha+beta-gamma) = tan (beta+gamma-alpha) tan (gamma+alpha-beta) tan (alpha+beta-gamma)

If alpha+beta=90^(@) and beta+gamma=alpha then tan alpha-tan beta=?

If alpha+beta=(pi)/(2) and beta+gamma=alpha, then tan alpha equals

If alpha+beta=(pi)/(2) and beta+gamma=alpha then tan alpha=

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=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