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

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