Find the exact value of sin(22.5∘)\sin(22.5^\circ)sin(22.5∘).
2+22\sqrt{\frac{2+\sqrt{2}}{2}}22+2
2−24\sqrt{\frac{2-\sqrt{2}}{4}}42−2
2−22\frac{2-\sqrt{2}}{2}22−2
2/4\sqrt{2}/42/4