
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 $f(x)= \sqrt {2}\sin x+ \sqrt {6}\cos x(x\in R)$.
(I) If $a\in[0,\pi]$ and $f(a)=2$, find $a$;
(II) First, shrink the horizontal coordinates of all points on the graph of $y=f(x)$ to half of their original length (vertical coordinates remain unchanged), then move the resulting graph right by $\theta(\theta > 0)$ units. The new graph is symmetric about the line $x= \frac {3\pi}{4}$. Find the minimum value of $\theta$.

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