
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 $2\sin\alpha + \cos\alpha = 0$, find the values of the following expressions:  
(1) $$\frac {2\cos\alpha - \sin\alpha}{\sin\alpha + \cos\alpha}$$            
(2) $$\frac {\sin\alpha}{\sin^{3}\alpha - \cos^{3}\alpha}$$．

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