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

If alpha+beta =(pi/2) and beta+gamma=alpha , then the tanalpha equals:

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

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

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

If alpha+beta=pi/2 and beta+ gamma = alpha , then find the value of tan alpha .

IF alpha+beta=pi/2 and gamma+beta=alpha then find tan alpha .

If alpha + beta =(pi)/(2)and beta + gamma =alpha, then the value of tan alpha is -

If alpha+beta=(pi)/(2) and beta+gamma=alpha, then find the value of tan 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 x y z=