
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 $\overrightarrow{a} = (\sin\theta, 1)$ and $\overrightarrow{b} = (\cos\theta, \sqrt{3})$, and $\overrightarrow{a} \parallel \overrightarrow{b}$, where $\theta \in (0, \frac{\pi}{2})$.
1. Find the value of $\theta$;
2. If $\sin(x - \theta) = \frac{3}{5}$ and $0 < x < \frac{\pi}{2}$, find the value of $\cos x$.

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