Question

упростите выражение tg2y+tgy/tg2y-tgy

Answer 1

$frac{tg, 2y+tg, y}{tg, 2y-tg, y}=frac{frac{sin (2y+y)}{cos 2ycdot cos y}}{frac{sin(2y-y)}{cos 2ycdot cos y}}=frac{sin 3y}{sin y}= frac{3sin y-4sin^3 y}{sin y}=3-4sin^2 y$