
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 $f(x)=2\cos x\sin \left(x+ \dfrac {\pi}{3}\right)- \sqrt {3}\sin ^{2}x+\sin x\cos x$.
1. Find the smallest positive period of $f(x)$;
2. Find the maximum and minimum values of $f(x)$ on the interval $\left[0, \dfrac {\pi}{3}\right]$ and the interval of monotonic increase;
3. Describe how the graph of $f(x)$ can be obtained from the graph of $y=\sin 2x$ through transformations.

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