
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 $\cos(2\theta-3\pi) = \frac{7}{25}$, and $\theta$ is an angle in the fourth quadrant,
(1) Find the values of $\cos\theta$ and $\sin\theta$;
(2) Calculate the value of $\frac{\cos\left(\frac{\pi}{2}-\theta\right)}{\tan\theta [\cos(\pi +\theta )-1]} + \frac{\sin\left(\theta- \frac{3\pi}{2}\right)}{\tan(\pi -\theta )\cos(-\theta )}$.

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