
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
If $\cos(\alpha - \frac{\pi}{3}) = \frac{2}{3}$ and $\alpha$ is an acute angle, find the value of $\sin(\alpha)$.

A) $\frac{\sqrt{15}}{6}$
B) $\frac{\sqrt{5} - \sqrt{3}}{6}$
C) $\frac{2\sqrt{3} - \sqrt{5}}{6}$
D) $\frac{4 - \sqrt{15}}{6}$

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