
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
The lines $l_1$ and $l_2$ are defined by the equations $x+y\sqrt{1-\cos\theta}+b=0$ and $x\sin\theta+y\sqrt{1+\cos\theta}-a=0$, where $\theta$ is an angle in the third quadrant. Determine the relationship between these two lines.

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