
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 the function $f(x)=A\sin (ωx+θ)$ ($A > 0$, $ω > 0$, $|θ| < \dfrac {π}{2}$) has a minimum positive period of $π$, and there is a lowest point on the graph $M( \dfrac {7π}{12},-3)$.
(1) Find the analytical expression of $f(x)$;
(2) Find the monotonically increasing interval of the function $f(x)$ in $[0,π]$.

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