
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
A circle centered at $O$ has a radius of 2 and contains point $A$. Segment $AB$ is tangent to the circle at $A$. Let $\angle AOB = \theta$. Point $C$ is on $\overline{OA}$ and $\overline{BC}$ bisects $\angle ABO$. Find the expression for $OC$ in terms of $s$ and $c$, where $s = \sin \theta$ and $c = \cos \theta$.

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