
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 $f(x)= \frac {2}{x+1}$, point $O$ is the coordinate origin, point $A_{n}(n,f(n))(n∈N^{})$, vector $ \overrightarrow{j}=(0,1)$, and $θ_{n}$ is the angle between vector $ \overrightarrow{OA_{n}}$ and $ \overrightarrow{j}$, determine the value of $\frac {cos θ_{1}}{sin θ_{1}}+ \frac {cos θ_{2}}{sin θ_{2}}+ \frac {cos θ_{1}}{sin θ_{1}}+…+ \frac {cos θ_{2016}}{sin θ_{2016}}$.

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