
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
An angle \(\theta\) with \(0^{\circ} \leq \theta \leq 180^{\circ}\) satisfies \(\sqrt{2} \cos 2 \theta = \cos \theta + \sin \theta\). Determine all possible values of \(\theta\).

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