Question

Вычисли:..................................

Answer 1

$2 \frac{ \sin(60) }{ \tan(30) } - \cos(45) \sin(45) + 3 \tan(60) \cos(30) = 2 \times \frac{ \frac{ \sqrt{3} }{2} }{ \frac{ \sqrt{3} }{3} } - \frac{ \sqrt{2} }{2} \times \frac{ \sqrt{2} }{2} + 3 \times \sqrt{3} \times \frac{ \sqrt{3} }{2} = 2 \times \frac{ \sqrt{3} }{2 } \times \frac{3}{ \sqrt{3} } - \frac{2}{4} + \frac{9}{2} = 3 - \frac{1}{2} + \frac{9}{2} = \frac{6 - 1 + 9}{2} = \frac{14}{2} = 7$