1. The problem statement, all variables and given/known data Cos 2x =√3/2 Find number of solutions .x∈[0,8π] 2. Relevant equations 3. The attempt at a solution: drew the graph of cos 2x.It has a periodicity of π and there are two solutions in each period. So 2*8 =16 solutions totally. But my teacher said that we must take [0,16π] as the interval because of 2x and said the answer is 32 solutions. I don't understand how this works. We are taking values of x on the x axis of the graph , so why should we take 16π? How is it 32 solutions?