
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 $\cos(\pi + \alpha) = \frac{4}{5}$, and $\tan \alpha > 0$.  
(1) Find the value of $\tan \alpha$;  
(2) Calculate the value of $\frac{2\sin(\pi - \alpha) + \sin(\frac{\pi}{2} - \alpha)}{\cos(-\alpha) + 4\cos(\frac{\pi}{2} + \alpha)}$.

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