Prove that `|(sin alpha,cos alpha,sin(alpha+delta)),(sin beta,cos beta,sin(beta+delta)),(sin gamma,cos gamma,sin(gamma+delta))|=0`

Explanation

`|{:(sin alpha,,cos alpha,,sin(alpha+delta)),(sin beta,,cosbeta,,sin(beta+delta)),(sin gamma ,,cos gamma,,sin (gamma + delta)):}|`
`|{:(sin alpha,,cos alpha,,sin alpha cos delta + sin delta cos alpha),(sin beta,,cosbeta,,sin beta cos delta+ sin delta cos beta),(sin gamma ,,cos gamma,,sin gamma cos delta+sin delta cos gamma):}|`
`|{:(sin alpha,,cos alpha,,0),(sin beta,,cosbeta,,0),(sin gamma ,,cos gamma,,0):}| [C_(3)to C_(3) cos deltaC_(1) -sin deltaC_(2)]`
`=0`