Tg^3x + tg^2x - tgx - 1 > 0 решите неравенство

[latex]tg^3x+tg^2x-tgx-1 extgreater 0 ; ,; ; ; ODZ:; ; xe frac{pi}{2}+pi n,; nin Z \\tg^2x(tgx+1)-(tgx+1) extgreater 0\\(tgx+1)(tg^2x-1) extgreater 0\\(tgx-1)(tgx+1)^2 extgreater 0\\Tak; kak; (tgx+1)^2 extgreater 0; ,; ; to; ; tgx-1 extgreater 0\\tgx extgreater 1\\frac{pi}{4}+pi n extless x extless frac{pi}{2}+pi n,; nin Z[/latex]