
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 an angle $α$ and a point $P(m,1)$ on its terminal side, with $\cos α=-\frac{1}{3}$, find the value of $\tan α$;  
(2) Evaluate: $\frac{\tan 150^{\circ} \cos(-210^{\circ}) \sin(-420^{\circ})}{\sin 1050^{\circ} \cos(-600^{\circ})}$.

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