№2. Вычислите: 1) 2 sin 30° - tg 45° + ctg 30° 2) √3sin(π/3) - 2 cos(π/6) + tg(π/2) * tg(π/3) 3) sin(-π/6)cos(-π/4) - sin(-π/4)cos(-π/6)

1) 2 sin 30° - tg 45° + ctg 30° = 2 * (1/2) - 1 + √3 = 1 - 1 + √3 = √3. 2) \(\sqrt{3}\sin(\frac{\pi}{3}) - 2\cos(\frac{\pi}{6}) + \frac{\sqrt{3}}{2}tg(\frac{\pi}{3})\) = \(\sqrt{3}*\frac{\sqrt{3}}{2} - 2*\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{2}*\sqrt{3}\) = \(\frac{3}{2} - \sqrt{3} + \frac{3}{2}\) = 3 - √3 3) sin(-π/6)cos(-π/4) - sin(-π/4)cos(-π/6) = -sin(π/6)cos(π/4) + sin(π/4)cos(π/6) = - (1/2)(√2/2) + (√2/2)(√3/2) = (-√2 + √6)/4