
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 $\triangle ABC$, the sides opposite angles $A$, $B$, and $C$ are denoted as $a$, $b$, and $c$, respectively, with $a=2$ and $\cos B = \frac{3}{5}$.
(1) If $b=4$, find the value of $\sin A$;
(2) If the area of $\triangle ABC$, denoted as $S_{\triangle ABC}$, is $4$, find the values of $b$ and $c$.

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