
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
If \( a = \frac{1}{3} \) and \( (a + 2)(b + 2) = 15 \), then the radian measure of \( \arctan a + \arctan b \) equals?
A) \( \frac{\pi}{6} \)
B) \( \frac{5\pi}{6} \)
C) \( \frac{\pi}{2} \)
D) \( \frac{3\pi}{4} \)
E) \( \pi \)

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