
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 $f(x)= \sqrt {3}\sin (x+ \frac {π}{4})$, $x∈\mathbb{R}$  
(1) Find the intervals where $f(x)$ is monotonically increasing;  
(2) Given that $A$, $B$, $C$ are the interior angles of $\triangle ABC$, and it satisfies $f(B)= \sqrt {3}$, find the maximum value of $\sqrt {2}\cos A+\cos C$.

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