Question

Найдите значения выражения.

Answer 1

$cosfrac pi 6 = cos 30^o = frac {sqrt 3 } 2 \ sinfracpi3 = sin 60^o = frac {sqrt 3} 2 \ tan fracpi4 = tan 45^o = 1 \ cot fracpi6 = frac{cosfracpi6}{sinfracpi6} = frac{frac{sqrt3}2}{frac 1 2} = sqrt3 \ \ 2 times frac {sqrt3} 2 - sqrt3 times frac {sqrt3} 2 times 1 times sqrt3 = \ = sqrt3 - sqrt3 times frac 3 2 = - frac {sqrt3}{2}$