Вычислите (sin 3π/4-cos 5π/4)*sin(-0,5π):cos(-7π/3).

\[= \left( \frac{\sqrt{2}}{2} - \left( - \frac{\sqrt{2}}{2} \right) \right) \cdot ( - 1)\ :\frac{1}{2} =\]

\[= \left( \frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} \right) \cdot ( - 1) \cdot 2 =\]

\[= \frac{2\sqrt{2}}{2} \cdot ( - 2) = \sqrt{2} \cdot ( - 2) =\]

\[= - 2\sqrt{2}\]