
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 $\cos B$ and $\sin C$ in the right triangle shown below, where $AC = 5$ and $BC = 13$.

[asy]
pair A,B,C;
A = (0,0);
B = (12,0);
C = (0,5);
draw(A--B--C--A);
draw(rightanglemark(B,A,C,10));
label("$A$",A,SW);
label("$B$",B,SE);
label("$C$",C,N);
label("$13$",(B+C)/2,NE);
label("$5$",C/2,W);
[/asy]

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