Question

Помогите!!
cos(x/4-п/3)=1/2​

Answer 1

$\cos\left(\dfrac{x}{4}-\dfrac{\pi}{3}\right)=\dfrac{1}{2}$

$\dfrac{x}{4}-\dfrac{\pi}{3}=\pm\arccos\dfrac{1}{2} +2\pi n$

$\dfrac{x}{4}-\dfrac{\pi}{3}=\pm\dfrac{\pi}{3} +2\pi n$

$\dfrac{x}{4}=\dfrac{\pi}{3}\pm\dfrac{\pi}{3} +2\pi n$

$x=\dfrac{4\pi}{3}\pm\dfrac{4\pi}{3} +8\pi n, \ n\in \mathbb{Z}$

Ответ: $\dfrac{4\pi}{3}\pm\dfrac{4\pi}{3} +8\pi n, \ n\in \mathbb{Z}$