Question

Решите уравнение
3tg^2x - 2tgx -1 = 0

Answer 1

$3tg^2x - 2tgx -1 = 0\tgx=u\3u^2-2u-1=0\D: 4+12=16\u=frac{2pm 4}{6}\\u_1=1\tgx=1\x=frac{pi}{4}+pi n, ; nin Z;\\u_2=-frac{1}{3}\tgx=-frac{1}{3}\x=-arctgfrac{1}{3}+pi n, ; nin Z$