
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 a circle centered at $O$ with radius $1$ and containing the point $A$, where segment $AB$ is tangent to the circle at $A$ and $\angle{AOB} = \theta$, find the expression for $OC$ in terms of $\theta$.

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