
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
Find the smallest positive period $T$ of the function $f(x)$;  
Given $$f\left( \frac {\alpha}{2}\right)= \frac { \sqrt {5}}{5}$$, $$f\left( \frac {\beta}{2}\right)= \frac {3 \sqrt {10}}{10}$$, with $\alpha, \beta \in (0, \frac {\pi}{2})$, find the value of $o(\alpha-\beta)$.

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