
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 that $\overrightarrow {m}$=（cosα，sinα） and $\overrightarrow {n}$=（ $\sqrt {3}$，-1）, where α∈（0，π）.
(1) If $\overrightarrow {m}$ is perpendicular to $\overrightarrow {n}$, find the value of angle α.
(2) Find the minimum value of $|$ $\overrightarrow {m}$+ $\overrightarrow {n}$$|$.

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