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.