
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
\[\frac{x - 2}{4} = \frac{y + 1}{5} = \frac{z + 4}{8}\]and the plane \(3x - 4y + 5z = 7.\) Find \(\sin \theta.\)

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