
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 $A=30^\circ$ and $B=30^\circ$, determine the value of $(1+\tan A)(1+\tan B)$.
A) $\frac{2\sqrt{3}}{3}$  
B) $\sqrt{3}$
C) $\frac{4 + 2\sqrt{3}}{3}$  
D) $2 + \sqrt{3}$  
E) $\frac{4}{3}$

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