\[\cos{49{^\circ}}\cos{19{^\circ}} =\]
\[= \frac{1}{2} \cdot \left( \cos{68{^\circ}} + \cos{30{^\circ}} \right) =\]
\[= \frac{1}{2} \cdot \left( \cos{68{^\circ}} + \frac{\sqrt{3}}{2} \right) =\]
\[= \frac{1}{2}\cos{68{^\circ}} + \frac{\sqrt{3}}{4}\]