
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
The coordinates of the foci of the hyperbola \\({x}^{2}-\dfrac{{y}^{2}}{3}=1\\) are \\(c,0\\) and \\(-(c),0\\), where c is given by the equation \\(c= \sqrt{1+a^2)}\\), find the value of c.

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