
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 $l_1: 2x+y+6=0$ and $l_2: 3x-4y-6=0$.

(1) Find the equation of the line $l$ that is 2 units away from $l_2$;  
(2) Find the cosine of the angle between $l_1$ and $l_2$.

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