Question

Найдите значения выражения.

Answer 1

$\cos\frac \pi 6 = \cos 30^o = \frac {\sqrt 3 } 2 \\ \sin\frac\pi3 = \sin 60^o = \frac {\sqrt 3} 2 \\ \tan \frac\pi4 = \tan 45^o = 1 \\ \cot \frac\pi6 = \frac{\cos\frac\pi6}{\sin\frac\pi6} = \frac{\frac{\sqrt3}2}{\frac 1 2} = \sqrt3 \\ \\ 2 \times \frac {\sqrt3} 2 - \sqrt3 \times \frac {\sqrt3} 2 \times 1 \times \sqrt3 = \\ = \sqrt3 - \sqrt3 \times \frac 3 2 = - \frac {\sqrt3}{2}$