
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 angle \\(\alpha=2010^{\circ}\\).
\\((1)\\) Rewrite \\(\alpha\\) in the form of \\(k\cdot360^{\circ}+\beta (k\in\mathbb{Z}, 0^{\circ}\leqslant \beta < 360^{\circ})\\), and indicate which quadrant the angle belongs to;  
\\((2)\\) Find \\(\theta\\), such that \\(\theta\\) has the same terminal side as \\(\alpha\\), and \\(-360^{\circ}\leqslant \theta < 720^{\circ}\\).

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