Determining area of graph based on unknown boundaries bounded by special trigonometry graphs

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Interesting question for all to solve that i chanced upon luckily.

let the area bounded by two graphs below from $m \pi $ to $(n-1) \pi $ be A, where $m$ and $n$ are integers. Express $n-m$ in terms of A. $$y = 2cos(x)$$ $$y= sin(2x) $$