Question

Срочно пж.
Решить уравнение: tgx-3ctgx=0

Answer 1

$tg(x) - 3 ctg(x) = 0, : x≠ frac{pi}{2}n, :n in Z \ tg(x) - frac{3}{ tg(x)} = 0 \ frac{ tg^{2} (x) - 3}{ tg(x)} = 0 \ tg^{2} (x) = 3 \ tg(x) = ±sqrt{3} \ x = frac{pi}{3} + pi m , : m in Z\ x = frac{2pi}{3} + pi k, : k in Z$