Вычислите (sin54°*cos24°-sin24°*cos54°)/(cos57°*cos27°+sin57°*sin27°).

\[= \frac{\sin(54{^\circ} - 24{^\circ})}{\cos(57{^\circ} - 27{^\circ})\ } = \frac{\sin{30{^\circ}}}{\cos{30{^\circ}}} =\]

\[= tg\ 30{^\circ} = \frac{1}{\sqrt{3}}\]