
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 function $f(x)= \frac{1}{2}x- \frac{1}{4}\sin x- \frac{ \sqrt{3}}{4}\cos x$, the slope of the tangent line to the graph of the function at point $A(x_{0},f(x_{0}))$ is $1$. Find the value of $\tan x_{0}$.

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