Question

sin 105

Answer 1

\[\sin(105)=\sin(45+60)=\sin(45)\cos(60)+\cos(45)\sin(60)=\\
=\frac{1}{\sqrt{2}}\frac{1}{2}+\frac{1}{\sqrt{2}}\frac{\sqrt{3}}{2}=\frac{1+\sqrt{3}}{2\sqrt{2}}\]