
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 $$f(x)=\cos^{2}x-\sin^{2}x+2 \sqrt {3}\sin x\cos x+1$$.
(Ⅰ) Find the smallest positive period of $f(x)$ and the minimum value of $f(x)$;
(Ⅱ) If $f(\alpha)=2$, and $$\alpha \in \left[ \frac {\pi}{4}, \frac {\pi}{2} \right]$$, find the value of $\alpha$.

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