Решить уравнение: 6 /tg^2x + 5/ tgx -1=0

1/tgx = ctgx [latex]6ctg^{2}x + 5ctg^{x} - 1 = 0[/latex] [latex](ctgx + 1)(6ctgx - 1) = 0[/latex] [latex]ctgx = -1 => x = -pi/4 + k_{1}pi[/latex] [latex] ctgx = 1/6 => x = arcctg(1/6) + k_{2}pi[/latex]