Вычислите (sin13°*cos47°+sin47°*cos13°)/(cos98°*cos38°+sin98°*sin38°).

\[= \frac{\sin(13{^\circ} + 47{^\circ})}{\cos(98{^\circ} - 38{^\circ})\ } = \frac{\sin{60{^\circ}}}{\cos{60{^\circ}}} =\]

\[= \frac{\sqrt{3}}{2}\ :\frac{1}{2} = \sqrt{3}\]