
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 the complex fraction $\dfrac{1-\sqrt{3}i}{(\sqrt{3}+i)^2}$, simplify and select the correct answer from the options below.

A) $\dfrac{1}{4}+\dfrac{\sqrt{3}}{4}i$
B) $-\dfrac{1}{4}-\dfrac{\sqrt{3}}{4}i$
C) $\dfrac{1}{2}+\dfrac{\sqrt{3}}{2}i$
D) $-\dfrac{1}{2}-\dfrac{\sqrt{3}}{2}i$

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