
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 an obtuse triangle △ABC, where the sides opposite angles A, B, and C are denoted as a, b, and c respectively, and it is known that $$( \sqrt {2}a-c)\cos B=b\cos C$$,  
(1) Find the magnitude of angle B;  
(2) Let vectors $$\overrightarrow {m}=(\cos 2A+1,\cos A), \overrightarrow {n}=(1,- \frac {8}{5})$$, and $$\overrightarrow {m}\perp \overrightarrow {n}$$, find the value of $$\tan( \frac {\pi }{4}+A)$$.

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