
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 the terminal side of the angle θ in the second quadrant intersects with the unit circle centered at the origin at point $P(-\frac{12}{13}, \frac{5}{13})$,

1. Find the value of the trigonometric function $\tan{\theta}$;
2. If $f(\theta) = \frac{\cos(\frac{3\pi}{2} + \theta) + \cos(\pi - \theta)\tan(\pi - \theta)}{\sin(\frac{3\pi}{2} - \theta) + \sin(-\theta)}$, find the value of $f(\theta)$.

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