Question

$frac{2tg( frac{pi }{6}) }{tg ^{2}( frac{ pi }{6}) - 1 }$

Answer 1

$frac{2tgfrac{pi}{6}}{tg^2frac{pi}{6}-1}= - frac{2tgfrac{pi}{6}}{1-tg^2frac{pi}{6}} =-tgfrac{pi}{3}=-sqrt3$