
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
Given that the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 (a > 0, b > 0)$ has one focus at $F(2,0)$ and its asymptotes are $y=\pm \sqrt{3}x$, what is the equation of the hyperbola?

A) $\frac{x^{2}}{9}-\frac{y^{2}}{13}=1$
B) $\frac{x^{2}}{13}-\frac{y^{2}}{9}=1$
C) $\frac{x^{2}}{3}-y^{2}=1$
D) $x^{2}-\frac{y^{2}}{3}=1$

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