
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 \\(\omega > 0\\) and \\(0 < \varphi < \pi \\), if the lines \\(x= \frac{\pi}{4} \\) and \\(x= \frac{5\pi}{4} \\) are two adjacent axes of symmetry for the graph of the function \\(f(x)=\sin (\omega x+\varphi) \\), then \\(\varphi = \)_______.

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