
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 diagram shows a right-angled triangle \(PQR\). The point \(S\) is the midpoint of the side \(QR\) and \(\tan \angle QPR = \frac{3}{2}\). What is the value of \(\sin \angle QPS\)?

A) \(\frac{1}{\sqrt{3}}\) 

B) \(\frac{1}{\sqrt{2}}\) 

C) \(\frac{1}{2}\) 

D) \(\frac{3}{5}\) 

E) \(\frac{4}{5}\)

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