
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 △ABC, the sides opposite to angles A, B, C are a, b, c respectively, and they satisfy sin²A + sinA sinB - 6sin²B = 0.
(1) Find the value of $\frac {b}{a}$;
(2) If cosC = $\frac {3}{4}$, find the value of sinB.

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