
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
Simplify and calculate the values of the following expressions:

\\((1) \frac{\sin(\frac{\pi}{2} + \alpha) \cdot \cos(\frac{\pi}{2} - \alpha)}{\cos(\pi + \alpha)} + \frac{\sin(\pi - \alpha) \cdot \cos(\frac{\pi}{2} + \alpha)}{\sin(\pi + \alpha)}\)；

\\((2) \frac{(1 - \log_{6}3)^{2} + \log_{6}2 \cdot \log_{6}18}{\log_{6}4}\)．

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