(sin11π/4 - cos13π/4) * sin(-2.5π) : cos(-25π/3)
(sin11π/4 - cos13π/4) * sin(-2.5π) : cos(-25π/3)
Ответ(ы) на вопрос:
[latex](sin\frac{11\pi}{4}-cos\frac{13\pi}{4})sin(-2.5\pi):cos(-\frac{25\pi}{3}) = -(sin(3\pi-\frac{\pi}{4})-cos(3\pi+\frac{\pi}{4}))*\frac{sin(2\pi+\frac{\pi}{2})}{cos(8\pi+\frac{\pi}{3})} = (-sin\frac{\pi}{4}-cos\frac{\pi}{4})*\frac{sin\frac{\pi}{2}}{cos\frac{\pi}{3}} = -\frac{2\sqrt{2}}{2}*\frac{1}{\frac{1}{2}}=-2\sqrt{2}[/latex]
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