
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 $f(x)=a\sin (2x- \frac {\pi}{3})+b,(a > 0)$ has a maximum value of $1$ and a minimum value of $-5$;  
(I) Find the values of $a$ and $b$  
(II) Find the maximum value of $g(x)=b\cos (ax+ \frac {\pi}{6})$ and the set of values for $x$.

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