
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 $\cos \alpha = \frac{3}{5}$ and $\alpha \in (\frac{3\pi}{2}, 2\pi)$, find the value of $\cos (\alpha - \frac{\pi}{4})$. The options are:
A) $\frac{7\sqrt{2}}{10}$
B) $-\frac{7\sqrt{2}}{10}$
C) $\frac{\sqrt{2}}{10}$
D) $-\frac{\sqrt{2}}{10}$

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