
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 the Cartesian coordinate plane $(xOy)$, the vertex of angle $a$ coincides with point $O$, and its initial side coincides with the non-negative semi-axis of the $x$-axis. A point $M$ on the terminal side of the angle has coordinates $(1, \sqrt{3})$. Find $\tan(a + \frac{π}{3})$.

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