Вычислите sin 13π/12+sin 7π/12-cos 5π/12+cos π/12.

\[= 2 \cdot \frac{1}{2} \cdot \frac{\sqrt{2}}{2} + 2 \cdot \frac{\sqrt{2}}{2} \cdot \frac{1}{2} =\]

\[= \frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = \frac{2\sqrt{2}}{2} = \sqrt{2}\]