
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 $a\geqslant -2$, for the function $f(x)= \frac {x-a}{\sin x+2}\left(x\in\left[0, \frac {π}{2}\right]\right)$:
  1. If $a=π$, determine the monotonicity of the function $f(x)$;
  2. Find the maximum value of the function $f(x)$.

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