
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 two lines $l_1$: $y=x$, $l_2$: $ax-y=0$, where $a$ is a real number, find the range of $a$ when the angle between these two lines varies within $\left(0, \frac {π}{12}\right)$.

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