
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 $\cos(\alpha + \beta) = \frac{1}{5}$ and $\cos(\alpha - \beta) = \frac{3}{5}$, find the value of $\tan \alpha \cdot \tan \beta$.

A) $-\frac{\sqrt{3}}{2}$
B) $\frac{\sqrt{3}}{2}$
C) $-\frac{1}{2}$
D) $\frac{1}{2}$

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