
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
Let $r$ be the distance from the origin to a point $P$ with coordinates $x = r \cos \theta$ and $y = r \sin \theta$. Define $s$ as $\sin \theta$ and $c$ as $\cos \theta$. Determine the possible values for $s^2 + c^2$.

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