
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
If the maximum value of the function \\(f(x)= \dfrac {2tx^{2}+ \sqrt {2}t\sin (x+ \dfrac {π}{4})+x}{2x^{2}+\cos x}(t\neq 0)\\) about \\(x\\) is \\(a\\), and the minimum value is \\(b\\), and \\(a+b=2\\), then the value of the real number \\(t\\) is \_\_\_\_\_.

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