
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 that $\cos (\alpha + \frac{\pi }{6}) = \frac{4}{5}$ ($\alpha$ is an acute angle), find the value of $\sin \alpha$.

A) $\frac{3\sqrt{3} + 4}{10}$
B) $\frac{3 + 4\sqrt{3}}{10}$
C) $\frac{3 - 4\sqrt{3}}{10}$
D) $\frac{3\sqrt{3} - 4}{10}$

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