
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 in $\triangle ABC$, the sides opposite to angles $A$, $B$, $C$ are respectively $a$, $b$, $c$, and it satisfies $\sin ^{2}A+\sin A\sin B-6\sin ^{2}B=0$.

(Ⅰ) Find the value of $\frac{a}{b}$;

(Ⅱ) If $\cos C=\frac{3}{4}$, find the value of $\sin B$.

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