
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 $\cos A$ in the right triangle shown below.

[asy]
pair A,B,C;
A = (0,0);
B = (10,0);
C = (0,6);
draw(A--B--C--A);
draw(rightanglemark(C,A,B,10));
label("$A$",A,SW);
label("$B$",B,SE);
label("$C$",C,N);
label("$6$",(A+C)/2,NW);
label("$10$",B/2,S);
[/asy]

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