
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 $f(x)=\sin (ωx+φ)(ω > 0,0\leqslant φ\leqslant π)$ is an even function on $\mathbb{R}$, its graph is symmetrical about the point $M(\frac{3π}{4},0)$, and it is a monotonic function in the interval $[0, \frac{π}{2}]$, find the values of $φ$ and $ω$.

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