
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 $f(x)=\cos x\cdot \sin (x+ \frac {π}{3})- \sqrt {3}\cos ^{2}x+ \frac{ \sqrt {3}}{4}$, $x\in R$.
(1) Find the smallest positive period and the equation of the axis of symmetry of $f(x)$;
(2) Find the range of $x$ for which $f(x)\geqslant \frac {1}{4}$.

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