
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 terminal side of angle \( ϕ \) passes through point \( P(-4,3) \), and the distance between two adjacent axes of symmetry of the graph of the function \( f(x)=\sin (ωx+ϕ) (ω > 0) \) is equal to \( \dfrac{π}{2} \), determine the value of \( f\left( \dfrac{π}{4}\right) \).

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