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

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. $$y = 2cos(x)$$ $$y= sin(2x)$$

• "Interesting question for all to solve that i chanced upon luckily." Your happiness faced to this issue is sympathetic, but recognize that it is rather artificial : explain for example why you are specialy interested by these bounds... Is there a connection with the intersection points of the curves ? – Jean Marie May 8 at 17:17
• ah i have missed out an important condition that m and n are both integers. Sorry to those who have seen the question already! – Yan Bo Pei May 8 at 17:33