
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 $f(x)=2\sin (\pi x+ \frac {\pi}{6})$,
(1) Find the maximum and minimum values of $f(x)$ when $x\in[-\frac {1}{2}, \frac {1}{2}]$;
(2) If $f(\frac {\alpha}{2\pi })= \frac {1}{4}$, find the value of $\cos ( \frac {2\pi}{3}-\alpha)$.

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