
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
In triangle $\triangle ABC$, if the sides $a$, $b$, and $c$ are opposite to the angles $A$, $B$, and $C$ respectively, and satisfy $a^{2}-b^{2}=bc$, then $\frac{A}{B}=\_\_\_\_\_\_$, where triangle $ABC$ is an acute triangle. The range of values for $\cos \left(C-B\right)+\cos A$ is ______.

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