
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
Find the value of \(\sin \theta\) if the terminal side of \(\theta\) lies on the line \(5y - 3x = 0\) and \(\theta\) is in the first quadrant.
(a) \(\frac{3}{\sqrt{34}}\)
(b) \(\frac{3}{4}\)
(c) \(\frac{3}{5}\)
(d) \(\frac{4}{\sqrt{34}}\)

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