
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
Let $\theta$ be the angle between the line
\[\frac{x - 2}{4} = \frac{y + 3}{5} = \frac{z - 1}{7}\]
and the plane $6x + 3y - 2z = 6.$ Find $\sin \theta.$

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