
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 $f(x)= \dfrac {1}{x+1}$, point $O$ is the origin, point $A_{n}(n,f(n))$ where $n\in N^{*}$, vector $ \overrightarrow{i}=(0,1)$, $\theta_{n}$ is the angle between vector $ \overrightarrow{OA_{n}}$ and $ \overrightarrow{i}$, then the value of $ \dfrac {\cos \theta_{1}}{\sin \theta_{1}}+ \dfrac {\cos \theta_{2}}{\sin \theta_{2}}+…+ \dfrac {\cos \theta_{2015}}{\sin \theta_{2015}}$ is \_\_\_\_\_\_.

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