
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
In the diagram below, we have $\sin \angle TPQ = \frac{3}{5}$. What is $\sin \angle TPS$?

[asy]
pair T,P,Q,S;
S = (-3,0);
P = (0,0);
Q = (3,0);
T = rotate(aSin(3/5))*(2,0);
dot("$S$",S,S);
dot("$Q$",Q,S);
dot("$T$",T,N);
dot("$P$",P,S);
draw(Q--S);
draw(P--T);
[/asy]

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