
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 $3\sin\alpha - 2\cos\alpha = 0$, find the value of the following expressions:  
(1) $\frac{\cos\alpha - \sin\alpha}{\cos\alpha + \sin\alpha} + \frac{\cos\alpha + \sin\alpha}{\cos\alpha - \sin\alpha}$;  
(2) $\sin^2\alpha - 2\sin\alpha\cos\alpha + 4\cos^2\alpha$.

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