
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 that $α$ is an angle in the third quadrant and $\tan α= \frac {1}{3}$, find the values of $\sin α$ and $\cos α$.
2. Given a point $P$ on the terminal side of angle $α$ with coordinates $(3a,4a)$, where $a≠ 0$, find $\sin α$, $\cos α$, and $\tan α$.

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