
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
(1) Given $\tan \alpha = 2$, find the value of $\frac {3\sin \alpha + 2\cos \alpha}{\sin \alpha - \cos \alpha}$;  
(2) Given that $0 < \alpha < \pi$, and $\sin \alpha + \cos \alpha = \frac {1}{5}$, find the value of $\tan \alpha$.

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