
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 $\sin \alpha - 2\cos \alpha = 0$, find  
$(1) \frac {2\sin \alpha + \cos \alpha}{\sin \alpha -3\cos \alpha}$;  
$(2) 2\sin \alpha \cos \alpha$.

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