If `alpha + beta + gamma + delta = 2pi` then prove that `sum tan alpha = tan alpha *tan beta* tan gamma* tan delta *sum cot alpha`.

Prove that (tan alpha+tan beta)/(cot alpha+cot beta)=tan alpha tan beta

tan^(If)alpha+2tan alpha*tan2 beta=tan^(2)beta+2tan beta*tan2 alpha

If alpha,beta and gamma are angles such that tan alpha+tan beta+tan gamma=tan alpha tan beta tan gamma and x=cos alpha+i sin alpha,y=cos beta+i sin beta and z=cos gamma+i sin gamma then the value of xyz is

If (alpha+beta+gamma+delta)=pi then sum cos alpha cos beta-sum sin alpha sin beta=

tan alpha=cot beta=a, find (alpha+beta)

Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)((4)/(5)) and gamma=tan^(-1)((8)/(15)) then cot alpha+cot beta+cot gamma=cot alpha cot beta cot gammatan alpha tan beta+tan beta tan gamma+tan alpha tan gamma=1tan alpha+tan beta+tan gamma=tan alpha tan beta tan gammacot alpha cot beta+cot beta cot gamma+cot alpha cot gamma=1

Let alpha,beta,gamma>0 and alpha+beta+gamma=(pi)/(2). Then prove that sqrt(tan alpha tan beta)+sqrt(tan beta tan gamma)+sqrt(tan alpha tan gamma)<=sqrt(3)

If alpha+ beta + gamma=90^(@) , then tan alpha+ tan beta + tan alpha tan beta cot gamma is __________

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=2pi , then show that tan.alpha/2 + tan.beta/2 + tan.gamma/2 = tan.alpha/2 tan.beta/2 tan.gamma/2 .