
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 $(a+1)(b+1)=\frac{5}{2}$, then the radian measure of $\arctan a + \arctan b$ equals?
A) $\frac{\pi}{6}$
B) $\frac{\pi}{4}$
C) $\frac{\pi}{3}$
D) $\text{arctan} \left(\frac{29}{17}\right)$
E) $\frac{\pi}{2}$

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