
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 vectors $ \overrightarrow{a}=(1,\sin \alpha)$ and $ \overrightarrow{b}=(2,\cos \alpha)$, and $ \overrightarrow{a} \parallel \overrightarrow{b}$, calculate: $ \dfrac {\sin \alpha+2\cos \alpha}{\cos \alpha-3\sin \alpha}$.

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