
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 $\tan \alpha$ and $\tan \beta$ are the roots of the equation $x^{2}+3 \sqrt{3} x+4=0$, and $\alpha$ and $\beta$ are in the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, calculate the value of $\alpha+\beta$.

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