{sin (α + 30 degrees) + sin (α - 30 degrees)} / sin α equals

{sin (α + 30 degrees) + sin (α - 30 degrees)} / sin α equals

Sin (α + 30 degrees) + sin (α - 30 degrees)
=sinαcos30+cosasin30+sinαcos30-cosasin30
=2sinacos30
=√3*sina
{sin (α + 30 degrees) + sin (α - 30 degrees)} / sin α = √ 3