Вычислите (sin π/4-cos 3π/4)*sin(-1,5π):cos(-10π/3).

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

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

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