
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 the vectors $\overrightarrow {a}= (\sqrt{3}, \sin\theta)$ and $\overrightarrow {b} = (1, \cos\theta)$ are parallel, where $\theta \in (0, \frac{\pi}{2})$.
(1) Find the values of $\sin\theta$ and $\cos\theta$;
(2) Find the smallest positive period and the interval of monotonous increase for $f(x) = \sin(2x + \theta)$.

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