Thread: Intersect of sin and cos

how many times do the graphs of y = sin 2x and y = cos 1/2 x interest on the interval [0,2pi]

it looks like to me just once at the origin 0. Is this correct? Please let me know asap. thanks

If your functions are:
y=sin(2x)
y=cos(1/2*x)
Than the answer is 5 times.