
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 $\alpha$ is an angle in the fourth quadrant, and $\tan \alpha = -\frac{5}{12}$, find the value of $\cos \alpha$.
Options:
A) $\frac{1}{5}$  
B) $-\frac{1}{5}$  
C) $\frac{12}{13}$  
D) $-\frac{12}{13}$

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