
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given $\alpha = -1920^\circ$,  
(1) Express $\alpha$ in the form of $\beta + 2k\pi$ ($k \in \mathbb{Z}$, $0 \leq \beta < 2\pi$) and specify in which quadrant the angle lies.  
(2) Find the angle $\theta$ that has the same terminal side as $\alpha$ and satisfies $-4\pi \leq \theta < 0$.

Present the answer in LaTex format: \boxed{Your answer}
user