
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
Points $A, B$ and $C$ are on a circle with radius $r$ such that $AB=AC$, $AB>r$, and the length of minor arc $BC$ is $2r$. If angles are measured in radians, calculate the ratio $\frac{AB}{BC}$.
A) $\sin(1)$
B) $2\sin(1)$
C) $\sqrt{2}\sin(1)$
D) $2\cos(1)$
E) $\frac{1}{2}\sin(1)$

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