
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 a triangle \\(ABC\\) with internal angles \\(A\\), \\(B\\), and \\(C\\) opposite to sides \\(a\\), \\(b\\), and \\(c\\) respectively, and \\(a=2\\), \\(\cos B= \dfrac{3}{5}\\).  
\\((1)\\) If \\(b=4\\), find the value of \\(\sin A\\);  
\\((2)\\) If \\(S_{\triangle ABC}=4\\), find the values of \\(b\\) and \\(c\\).

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