if `(1+sinalpha)(1-sinbeta)(1-singamma)=(1-sinalpha)(gamma-sinbeta)(1-singamma)=?`

If (1+sin alpha)(1+sinbeta)(1+singamma)=(1-sinalpha)(1-sinbeta)(1-singamma) , show that each side is equal to pm cotalpha cotbeta cotgamma .

If k=(1-sinalpha).(1-sinbeta).(1-singamma)=(1+sinalpha).(1+sinbeta).(1+singamma) then find k.

If k=(1-sinalpha)(1-sinbeta)(1-singamma)=(1+sinalpha)(1+sinbeta)(1+singamma) , then the value of k is:

If : (1-sin alpha)(1-sin beta)(1-singamma)=(1+sinalpha)(1+sin beta)(1+sin gamma), then one value of each side is

If 0 lt alpha lt beta lt gamma lt pi//2 , then the equation (x-sinbeta)(x-singamma)+(x-sinalpha)(x-singamma)+(x-sinalpha)(x-sinbeta)=0 has

If 0 lt alpha lt beta lt gamma lt pi//2 , then the equation (x-sinbeta)(x-singamma)+(x-sinalpha)(x-singamma)+(x-sinalpha)(x-sinbeta)=0 has

If 0 lt alpha lt beta lt gamma lt pi//2 , then the equation (x-sinbeta)(x-singamma)+(x-sinalpha)(x-singamma)+(x-sinalpha)(x-sinbeta)=0 has

If |{:(0,sinalpha,sinbeta),(sinalpha,0,singamma),(sinbeta,singamma,0):}|=|{:(1,sinalpha,sinbeta),(sinalpha,1,singamma),(sinbeta,singamma,1):}| then

If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then sin^2alpha+sin^2beta+sin^2gamma=