484. Найти значение выражения: 1) 3 sin(π/6) + 2 cos(π/6) − tg(π/3); 2) 5 sin(π/4) + 3 tg(π/4) − 5 cos(π/4) − 10 ctg(π/4); 3) (2 tg(π/6) − tg(π/3)) : cos(π/6); 4) sin(π/3) · cos(π/6) − tg(π/4).

1. \(3\cdot\frac12+2\cdot\frac{\sqrt3}{2}-\sqrt3=\frac32\).
2. \(5\cdot\frac{\sqrt2}{2}+3-5\cdot\frac{\sqrt2}{2}-10=-7\).
3. \(\left(\frac{2}{\sqrt3}-\sqrt3\right):\frac{\sqrt3}{2}=-\frac{1}{\sqrt3}\cdot\frac{2}{\sqrt3}=-\frac23\).
4. \(\frac{\sqrt3}{2}\cdot\frac{\sqrt3}{2}-1=\frac34-1=-\frac14\).

Ответ: 1) \(\frac32\); 2) −7; 3) \(-\frac23\); 4) \(-\frac14\).