
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 $\overrightarrow {m}=(1, \frac {1}{2})$, $\overrightarrow {n}=(0,1)$, and point P $(x, y)$ moves on the graph of the function $y=\sin \frac {x}{2}$, and points P and Q satisfy: $\overrightarrow {OQ} = \overrightarrow {m} \otimes \overrightarrow {OP} + \overrightarrow {n}$ (where O is the origin of coordinates), determine the maximum value $A$ and the smallest positive period $T$ of the function $y=f(x)$.

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