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

If alpha, beta and gamma are angle such that tan alpha + tan beta+tan gamma= tan alpha tan beta tan gammaand 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=(pi)/(2) and beta+ gamma= alpha then prove that tan alpha=tan beta+2 tan gamma .

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 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 xyz =

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

If (secalpha+tanalpha)(secbeta+tanbeta)(secgamma+tangamma)=tanalphatanbetatangamma , then (secalpha-tanalpha)(secbeta-tanbeta)(secgamma-tangamma)= ........................ (A) cot alpha cot beta cot gamma (B) tan alpha tan beta tan gamma (C) cot alpha + cot beta + cot gamma (D) tan alpha +tan beta + tan gamma

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=

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

If 2 sin alpha cos beta sin gamma =sin beta sin (alpha +gamma) then prove that tan alpha,tan beta,tan gamma are in H.P.

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