Does $\sin 105^{\circ}=\frac{\sqrt{3}}{2} \cdot \frac{\sqrt{2}}{2}+\frac{1}{2} \cdot \frac{\sqrt{2}}{2}$

True/False

Does $\sin 105^{\circ}=\frac{\sqrt{3}}{2} \cdot \frac{\sqrt{2}}{2}+\frac{1}{2} \cdot \frac{\sqrt{2}}{2}$ ?