Question

СРОЧНО
tg (arcsin √3/2 + arccos √3/2 + arctg √3 + arcctg (-√3))

Answer 1

$tg(arcsin(sqrt{3}/2)+arccos(sqrt{3}/2)+arctan(sqrt{3})+arcctg(-sqrt{3}))=\\=tg(frac{pi}{3}+frac{pi}{6}+frac{pi}{3}-frac{pi}{6})=tg(frac{2pi}{3})=tg(pi-frac{pi}{3})=-tg(pi/3)=-sqrt{3}$