Question

Найдите нули функции y=cos(5x + /6)

Answer 1

$\cos (5x+\frac{\pi}{6})=0$

$5x+\frac{\pi}{6}=\frac{\pi}{2}+\pi n,\quad n\in Z$

$5x=\frac{\pi}{2}-\frac{\pi}{6}+\pi n,\quad n\in Z$

$5x=\frac{\pi}{3}+\pi n,\quad n\in Z$

$x=\frac{\pi}{15}+\frac{\pi n}{5},\quad n\in Z$

Ответ: $x=\frac{\pi}{15}+\frac{\pi n}{5},\quad n\in Z$