Question

Найдите нули функции:

y = cos(x + pi/6) - 1

Answer 1

$y = \cos\left(x +\dfrac{\pi}{6}\right) - 1$

Найдем нули функции:

$\cos\left(x +\dfrac{\pi}{6}\right) - 1=0$

$\cos\left(x +\dfrac{\pi}{6}\right) = 1$

$x +\dfrac{\pi}{6}=2\pi n$

$\boxed{x =-\dfrac{\pi}{6}+2\pi n,\ n\in\mathbb{Z}}$