
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 the function $f(x)=2\sin (wx+φ)$, where $ω > 0$ and $|φ| < \frac{π}{2}$, its smallest positive period is $π$. Also, $f(0)=\sqrt{3}$. Determine the values of $ω$ and $φ$.
A) $ω=2$, $φ=\frac{π}{3}$
B) $ω=\frac{1}{2}$, $φ=\frac{π}{3}$
C) $ω=2$, $φ=\frac{π}{6}$
D) $ω=\frac{1}{2}$, $φ=\frac{π}{6}$

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