
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 \( A, B, C \) be the angles of a triangle. Evaluate
\[
\begin{vmatrix}
\cos^2 A & \tan A & 1 \\
\cos^2 B & \tan B & 1 \\
\cos^2 C & \tan C & 1
\end{vmatrix}.
\]

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