23) (2 + 2sin 60° cos 150°) / sin 150°; 24) sin π + cos π + tg π

Решение:

1. \( \frac{2 + 2 \sin(60^{\circ}) \cos(150^{\circ})}{\sin(150^{\circ})} = \frac{2 + 2 \cdot \frac{\sqrt{3}}{2} \cdot (-\frac{\sqrt{3}}{2})}{\frac{1}{2}} = \frac{2 - 2 \cdot \frac{3}{4}}{\frac{1}{2}} = \frac{2 - \frac{3}{2}}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{2}} = 1 \)
2. \( \sin(\pi) + \cos(\pi) + \operatorname{tg}(\pi) = 0 + (-1) + 0 = -1 \)

Ответ: 23) 1; 24) -1.