
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 $f(x)=\sin\left( \frac {3π}{4}-x\right)- \sqrt {3}\cos\left(x+ \frac {π}{4}\right)$, $x\in\mathbb{R}$, find the period and axis of symmetry of the graph of $f(x)$.

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