
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 that $\theta$ is measured in radians, $C$ is the center of the circle, and $BCD$ and $ACE$ are line segments while $AB$ is tangent to the circle at $A$, determine the condition for the equality of the two shaded areas, given $0 < \theta < \frac{\pi}{4}$.

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