б) (1 балл) sin π/4 cos π/3 - sinπ

Для решения выражения $\sin \frac{\pi}{4} \cos \frac{\pi}{3} - \sin \pi$ подставим табличные значения: 1. $\sin \frac{\pi}{4} = \frac{\sqrt{2}}{2}$ 2. $\cos \frac{\pi}{3} = \frac{1}{2}$ 3. $\sin \pi = 0$ Вычисляем: $\frac{\sqrt{2}}{2} \cdot \frac{1}{2} - 0 = \frac{\sqrt{2}}{4}$ **Ответ: \frac{\sqrt{2}}{4}** ### 30 похожих заданий 1. $\sin \frac{\pi}{6} + \cos \frac{\pi}{6}$ 2. $\cos \frac{\pi}{4} - \sin \frac{\pi}{3}$ 3. $\sin \frac{\pi}{2} \cdot \cos 0$ 4. $\cos \pi + \sin \frac{3\pi}{2}$ 5. $\tan \frac{\pi}{4} \cdot \cos \frac{\pi}{3}$ 6. $\sin \frac{\pi}{3} \cdot \cos \frac{\pi}{6}$ 7. $\cos \frac{\pi}{2} - \sin \frac{\pi}{6}$ 8. $\tan \frac{\pi}{3} \cdot \sin \frac{\pi}{6}$ 9. $\cos^2 \frac{\pi}{4} + \sin^2 \frac{\pi}{4}$ 10. $2\sin \frac{\pi}{6} + \cos \frac{\pi}{3}$ 11. $\sin 0 - \cos \frac{\pi}{2}$ 12. $\tan \frac{\pi}{6} \cdot \cos \frac{\pi}{6}$ 13. $\cos \frac{\pi}{3} + \sin \frac{\pi}{2}$ 14. $4\sin \frac{\pi}{3} \cdot \cos \frac{\pi}{6}$ 15. $\cos^2 \frac{\pi}{6} - \sin^2 \frac{\pi}{6}$ 16. $\sin \frac{\pi}{4} \cdot \cos \frac{\pi}{4}$ 17. $\tan \frac{\pi}{4} + \cos \pi$ 18. $\sin \frac{\pi}{3} \cdot \tan \frac{\pi}{3}$ 19. $\cos \frac{\pi}{6} \cdot \sin \frac{\pi}{3}$ 20. $2\cos \frac{\pi}{3} - \sin \frac{\pi}{2}$ 21. $\sin \frac{\pi}{2} + \cos \frac{3\pi}{2}$ 22. $\tan \frac{\pi}{3} \cdot \cos \frac{\pi}{3}$ 23. $\cos 0 + \sin \frac{\pi}{2}$ 24. $\sin \frac{\pi}{6} \cdot \cos \frac{\pi}{3}$ 25. $\cos \pi - \tan \frac{\pi}{4}$ 26. $\sin \frac{\pi}{3} \cdot \cos \frac{\pi}{3}$ 27. $2\sin \frac{\pi}{4} \cdot \cos \frac{\pi}{4}$ 28. $\cos \frac{\pi}{4} \cdot \sin \frac{\pi}{4}$ 29. $\tan \frac{\pi}{6} \cdot \tan \frac{\pi}{3}$ 30. $\cos \frac{\pi}{6} + \sin \frac{\pi}{6}$