
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
Let the function be $$f(x)=1-2\sin^{2}x-\cos(2x+ \frac {\pi}{3})$$  
(1) Find the smallest positive period of the function $f(x)$.  
(2) For triangle ABC, the sides $a$, $b$, $c$ are opposite to the angles $A$, $B$, $C$, respectively. Given $b=5$, and $$f\left( \frac {B}{2}\right)=1$$, find the maximum area of triangle ABC.

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