Write the number of points of intersection of the curves 2y = 1 and y = cos x, 0 ≤ x ≤ 2π.

2y=1

i.e.

and y = cos x

so, to get the intersection points we must equate both the equations

i.e.

so, cos x = cos 60°

and we know if cos x = cos a

then x=2nπ ± a where a ϵ [0, π]

so here

So the possible values which belong [0,2π] are .

There are a total of 2 points of intersection.