
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
In \( \triangle ABC \), the sides opposite to angles \(A\), \(B\), and \(C\) are \(a\), \(b\), and \(c\) respectively. If \(a^{2} + b^{2} = 2019c^{2}\), then \(\frac{\cot C}{\cot A+\cot B} =\) ?

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