
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
(1) Given a sector with a central angle of $\alpha=60\degree$ and the radius $R=10\text{cm}$ of the circle to which it belongs, find the length of the arc and the area of the sector;  
(2) Given that the terminal side of angle $\alpha$ passes through point $P(-4, 3)$, find the values of $\sin \alpha$, $\cos \alpha$, and $\tan \alpha$.

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