
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 \( y=\frac{1}{2} \cos ^{2} x+\frac{\sqrt{3}}{2} \sin x \cos x+1, x \in \mathbf{R} \):
1. Find the set of values of the variable \( x \) when the function \( y \) reaches its maximum value.
2. Describe how the graph of \( y=\sin x (x \in \mathbf{R}) \) can be transformed through translation and scaling to obtain the graph of the given function.

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