
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 area of $\triangle ABC$ is 3, and it satisfies $0 \leq \cdot \leq 6$. Let the angle between $\overrightarrow{a}$ and $\overrightarrow{b}$ be $\theta$.
(1) Find the range of values for $\theta$;
(2) Find the maximum and minimum values of the function $f(\theta) = 2\sin^2\theta - \cos 2\theta$.

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