
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 $f(x)=\sin x+\sqrt{3}\cos x (x\in \mathbb{R})$, first compress the x-coordinates of all points on the graph of $y=f(x)$ to half of their original length, then move all points of the obtained graph to the right by $\theta (\theta > 0)$ units. If the resulting graph is symmetric about the line $x=\frac{3}{4}\pi$, calculate the minimum value of $\theta$.

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