
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 two acute angles $\alpha$ and $\beta$ that satisfy $\cos \alpha = \frac{2\sqrt{5}}{5}$ and $\cos \beta = \frac{3\sqrt{10}}{10}$:

(I) Find the value of $\tan(\alpha - \beta)$;
(II) Find the value of $\alpha + \beta$.

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