Question

Вычислить (tg 37 + tg 23) / (1 - tg 37*tg 23)

Answer 1

$tg(x+y)= frac{tgx+tgy}{1-tgx*tgy}$

$frac{tg37^circ +tg23^circ }{1-tg37^circ *tg23^circ } =tg(37^circ +23^circ )=tg60^circ = sqrt{3}$