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.


1