
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 the function \\(f(x)=2\cos x\sin (x+ \frac{\pi}{6})+\cos ^4x-\sin ^4x \\)

\\((1)\\) Find the smallest positive period of \\(f(x) \\);

\\((2)\\) If \\(x\in[- \frac{\pi}{12}, \frac{\pi}{6}] \\), find the maximum and minimum values of \\(f(x) \\) and the corresponding values of \\(x\\).

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