Вычислите sin25°cos5°+sin20°cos40°.

\[\sin{25{^\circ}}\cos{5{^\circ}} + \sin{20{^\circ}}\cos{40{^\circ}} =\]

\[= \frac{1}{4} + \frac{\sqrt{3}}{4} = \frac{1 + \sqrt{3}}{4}\]