
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 an angle \\(\theta\\) in the second quadrant, its terminal side intersects with the unit circle centered at the origin at point \\(P\left( -\frac{12}{13},\frac{5}{13} \right)\\).

\\((1)\\) Write the values of the trigonometric functions \\(\sin \theta, \cos \theta, \tan \theta\\);

\\((2)\\) If \\(f\left( \theta \right)=\frac{\cos \left( \frac{3\pi }{2}+\theta \right)+\cos \left( \pi -\theta \right)\tan \left( 3\pi +\theta \right)}{\sin \left( \frac{3\pi }{2}-\theta \right)\sin \left( -\theta \right)}\\), find the value of \\(f\left( \theta \right)\\).

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