
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 a triangle $\triangle ABC$ with sides $a$, $b$, and $c$ opposite to angles $A$, $B$, and $C$ respectively, such that $a\cos A - b\cos B = 0$ and $a \neq b$.

1. Find angle $C$.
2. If $y = \frac{\sin A + \sin B}{\sin A \cdot \sin B}$, determine the range of real values that $y$ can take.

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