
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 $y=\frac{1}{2}\cos^2 x+\frac{\sqrt{3}}{2}\sin x\cos x+1$, where $x\in R$.

(1) Find its amplitude, period, and phase shift;

(2) How is the graph of this function obtained from the graph of $y=\sin x(x\in R)$ through translation and scaling?

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