Question

вычислите: ctg^2(п/6)*cos(5п/6)*tg^2(3п/4)

Answer 1

${ \cot( \frac{\pi}{6} ) }^{2} \times \cos( \frac{5\pi}{6} ) \times { \tan( \frac{3\pi}{4} ) }^{2} = { \sqrt{3} }^{2} \times ( - \frac{ \sqrt{3} }{2}) \times {( - 1)}^{2} = 3 \times ( - \frac{ \sqrt{3} }{2} ) \times 1 = - \frac{3 \sqrt{3} }{2}$