
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 $f(x)=\sin (2x+\theta)(|\theta| < \dfrac {\pi}{2})$, its graph is translated to the right by $\phi(0 < \phi < \pi)$ units to obtain the graph of the function $g(x)$. If the graphs of both $f(x)$ and $g(x)$ pass through the point $P(0, \dfrac {1}{2})$, find the value of $\phi$.

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