Question

Тригонометрическое уравнение
(cosx-1)*tg2x=0
Спасайте народ

Answer 1

Ответ:

$x=2pi k, k in mathbb{Z},;x=frac{pi}2 n, n in mathbb{Z}$

Пошаговое объяснение:

$(cos x-1)tan (2x)=0\\left[ begin{gathered}cos x-1=0\tan (2x)=0 end{gathered}right.\left[ begin{gathered}cos x=1\tan (2x)=0 end{gathered}right.\left[ begin{gathered} x=2pi k, k in mathbb{Z}\2x=pi n, n in mathbb{Z} end{gathered}right.\left[ begin{gathered} x=2pi k, k in mathbb{Z}\x=frac{pi}2 n, n in mathbb{Z} end{gathered}right.$