Find sin(105°)\sin(105°)sin(105°) using angle addition formulas.
6+24\frac{\sqrt{6} + \sqrt{2}}{4}46+2
6−24\frac{\sqrt{6} - \sqrt{2}}{4}46−2
3+122\frac{\sqrt{3} + 1}{2\sqrt{2}}223+1
1+322\frac{1 + \sqrt{3}}{2\sqrt{2}}221+3