
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 ${f}_{1}(x)=\sin x+\cos x $, ${f}_{2}(x)={f}_{1}{{{'}}}(x) $, ${f}_{3}(x)={f}_{2}{{{'}}}(x) $, ..., ${f}_{n}(x)=f{{{{'}}}}\_{n-1}(x) $ (where $n\in N^*$ and $n\geqslant 2$), find the value of ${{f}\_{1}}(\dfrac{\pi }{4})+{{f}\_{2}}(\dfrac{\pi }{4})+...+{{f}\_{2018}}(\dfrac{\pi }{4})$.

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