
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 $f(x)=2a\sin (2x+φ)$, its range is $[-2,2]$, and it is a decreasing function in the interval $\left[-\frac{5π}{12}, \frac{π}{12}\right]$. Find the values of the constants $a$ and $φ$ $(0 < φ < 2π)$.

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