
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 acute \\(\triangle ABC\\), where \\(B > \dfrac{\pi}{6}\\), \\(\sin \left(A + \dfrac{\pi}{6}\right) = \dfrac{3}{5}\\), and \\(\cos \left(B - \dfrac{\pi}{6}\right) = \dfrac{4}{5}\\), find \\(\sin (A+B)\\).

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