`|[1,1,1],[sinalpha,sinbeta,sindelta],[cosalpha,cosbeta,cosdelta]|= -4sin((alpha-beta)/2)sin((beta-delta)/2)sin((delta-alpha)/2)`

det [[1,1,1sin alpha, no beta, no deltacos alpha, cos beta, cos delta]] = - 4sin ((alpha-beta) / (2)) sin ((beta-delta) / (2)) sin ((delta-alpha) / (2))

Show that sinalpha+sinbeta+singamma-sin(alpha+beta+gamma)=4sin ((alpha+beta)/2) sin((beta+gamma)/2)sin((gamma+alpha)/2)

sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)

Prove that: sinalpha+sinbeta+singamma-sin(alpha+beta+gamma)=4sin((alpha+beta)/2)sin((beta+gamma)/2)sin((gamma+alpha)/2)dot

If sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta) =

If (sinalpha)/(sinbeta)=(cosgamma)/(cosdelta), then (sin((alpha-beta)/2)*cos((alpha+beta)/2)*cosdelta)/(sin((delta-gamma)/2)*sin((delta+gamma)/2)*sinbeta) is equal to

If (sinalpha)/(sinbeta)=(cosgamma)/(cosdelta), then (sin((alpha-beta)/2)*cos((alpha+beta)/2)*cosdelta)/(sin((delta-gamma)/2)*sin((delta+gamma)/2)*sinbeta) is equal to

Prove that: (cosalpha-cosbeta)^2+(sinalpha-sinbeta)^2=4sin^2((alpha-beta)/2)^(\ )

(sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan(alpha/2)tan(beta/2)