
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
Compute
\[
\begin{vmatrix} \cos 2 & \cos 3 & \cos 4 \\ \cos 5 & \cos 6 & \cos 7 \\ \cos 8 & \cos 9 & \cos 10 \end{vmatrix}
.\]All the angles are in radians.

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