
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 the universal set $U={x|x\leqslant 4}$, set $A={x|x^{2}-x-6 < 0}$, and set $B={x|-3 < x\leqslant 3}$, find $(∁_{U}A)∩B$.
2. If $\tan α=3$, find the value of $\frac {\sin α+\cos α}{\sin α - \cos α}$ and $\cos ^{2}α-3\sin α\cos α$.

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