
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 $y=A\sin (ωx+φ)(A > 0,ω > 0)$, its graph passes through point $P( \frac {π}{12},0)$, and the coordinates of the nearest highest point to point $P$ on the graph are $( \frac {π}{3},5)$.

(1) Find the analytical expression of the function;
(2) Find the maximum value of the function and the corresponding $x$ value;
(3) Find the range of $x$ values when $y \leqslant 0$.

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