
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 that $f(x)=\frac{\cos^2 (nπ+x)·\sin^2 (nπ-x)}{\cos^2 [(2n+1)π-x]}$ ($n∈Z$).

(1) Simplify the expression of $f(x)$;

(2) Find the value of $f(\frac{π}{2016})+f(\frac{1007π}{2016})$.

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