Question 160
Assume that $\alpha, \beta, \gamma$ satisfy $0 \lt \alpha \lt \beta \lt \gamma \lt 2\pi$. If
$$
\cos(x + \alpha) + \cos(x + \beta) + \cos(x + \gamma) = 0
$$
for arbitrary $x \in \mathbb{R}$, then $\gamma - \alpha = \underline{\hspace{2cm}}$.
$$
\cos(x + \alpha) + \cos(x + \beta) + \cos(x + \gamma) = 0
$$
for arbitrary $x \in \mathbb{R}$, then $\gamma - \alpha = \underline{\hspace{2cm}}$.