
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 $f(x)=\sin (ωx+φ)(ω > 0,0≤φ≤π)$ is an even function, and the distance between adjacent symmetry axes on its graph is $π$.
(I) Find the expression of the function $f(x)$.
(II) If $\sin α+f(α)= \frac {2}{3}$, find the value of $\frac {\sqrt {2}\sin (2α-\frac {π}{4})+1}{1+\tan α}$.

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