Question

tg5x+3ctg5x+4=0
Помогите пж

Answer 1

Домножим на tg5x  и получим:
$tg^25x + 4tg5x + 3 = 0 \ t = tg5x \ t^2 + 4t + 3 = 0; t_1 = -3; t_2 = -1 \ tg5x = -1; x = frac{ -pi }{20} + frac{ pi n}{5} \ tg5x = -3; x = frac{arctg(-3)}{5} + frac{ pi n}{5}$