
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 $f(x)=\sin (2x+φ)$ where $0 < ϕ < \dfrac {π}{2}$, and $f(0)= \dfrac {1}{2}$.

(I) Find the smallest positive period $T$ and the value of $φ$.

(II) Find the minimum value of the function $y=f(x)$ when $x \in [0, \dfrac {π}{2}]$.

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