Question

tg х = 3 ctg х
Помогите решить уравнение

Answer 1

$tgx=3ctgx$
ОДЗ:
$cosx neq 0, sinx neq 0\ xneq{pi kover2}, kin Z$

$sin^2x=3cos^2x\1-cos^2x=3cos^2x\cos^2x={1over4}\ cosx=pm{1over2}\x=pm{piover3}+pi k, kin Z$