Find the value of sin(75∘)\sin(75^\circ)sin(75∘) using sin(45∘+30∘)\sin(45^\circ + 30^\circ)sin(45∘+30∘).
6+24\frac{\sqrt{6}+\sqrt{2}}{4}46+2
6−24\frac{\sqrt{6}-\sqrt{2}}{4}46−2
3+12\frac{\sqrt{3}+1}{2}23+1
2+12\frac{\sqrt{2}+1}{2}22+1