
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 $\triangle ABC$ satisfies $2\sin C\sin \left(B-A\right)=2\sin A\sin C-\sin ^{2}B$.<br/>$(1)$ Inquire: Is angle $B$ possible to be a right angle? Please explain the reason;<br/>$(2)$ If $\triangle ABC$ is an acute triangle, find the range of $\frac{{\sin C}}{{\sin A}}$.

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